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Pay vs Performance Disclosure - USD ($)
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Pay vs Performance Disclosure [Table]      
Pay vs Performance [Table Text Block]
Year
Summary Compensation Table Total for PEO(1)
Compensation Actually Paid to PEO(1)(2)
Average Summary Compensation Table Total for non-PEO Named Executive Officers(1)
Average Compensation Actually Paid to non-PEO Named Executive Officers(1)(2)
Value of Initial Fixed $100 Investment Based on:
Net Income
(millions)(5)
ABV per Share(6)
Total Shareholder Return(3)
Peer Group Total Shareholder Return(4)
2022$13,606,009$28,885,520$3,662,609$6,060,272$135$113$137$142
2021$14,536,062$23,817,693$4,277,028$5,930,256$107$128$419$131
2020$10,876,524$4,540,198$3,346,954$2,208,833$66$99$368$115
    
Company Selected Measure Name ABV per share    
Named Executive Officers, Footnote [Text Block] The PEO for each year reported is Dominic J. Frederico. The non-PEO named executive officers for each year reported are as follows:
•2022: Robert A. Bailenson, Ling Chow, David A. Buzen, Stephen Donnarumma
•2021: Robert A. Bailenson, Ling Chow, David A. Buzen, Russell B. Brewer II
•2020: Robert A. Bailenson, Ling Chow, David A. Buzen, Russell B. Brewer II 		   
Peer Group Issuers, Footnote [Text Block] Represents the cumulative TSR of the Russell Mid-Cap Financial Services Index for the measurement period December 31, 2019 through December 31 of the year indicated. The Russell Mid-Cap Financial Services Index is the peer group used by our Company for purposes of Item 201(e) of Regulation S-K under the Exchange Act in our Annual Report on Form 10-K for the year ended December 31, 2022.    
PEO Total Compensation Amount $ 13,606,009 $ 14,536,062 $ 10,876,524
PEO Actually Paid Compensation Amount $ 28,885,520 23,817,693 4,540,198
Adjustment To PEO Compensation, Footnote [Text Block] SEC rules require certain adjustments be made to the "Summary Compensation Table" totals to determine "compensation actually paid" as reported in the "Pay versus Performance Table" above. For purposes of the equity award adjustments shown below, no equity awards were cancelled due to a failure to meet vesting conditions. The following table details the applicable adjustments that were made to determine "compensation actually paid" (all amounts are averages for the non-PEO named executive officers, who we refer to as Other NEOs in the following table):
YearExecutive(s)"Summary Compensation Table" TotalDeduct Stock Award Included in "Summary Compensation Table"Add Year-end Value of Unvested Equity Awards Granted in YearChange in Value of Unvested Equity Awards Granted in Prior YearsChange in Value of Equity Awards Granted in Prior Years which Vested in Year"Pay versus Performance Table" Compensation Actually Paid
2022PEO$13,606,009$(8,661,779)$7,576,157$13,873,696$2,491,437$28,885,520
Other NEOs$3,662,609$(1,252,978)$1,095,933$2,149,270$405,438$6,060,272
2021PEO$14,536,062$(9,239,643)$10,089,728$6,588,781$1,842,765$23,817,693
Other NEOs$4,277,028$(1,658,182)$1,810,742$1,168,687$331,981$5,930,256
2020PEO$10,876,524$(5,964,855)$5,368,531$(5,219,036)$(520,966)$4,540,198
Other NEOs$3,346,954$(1,005,208)$904,717$(956,798)$(80,832)$2,208,833
    
Non-PEO NEO Average Total Compensation Amount $ 3,662,609 4,277,028 3,346,954
Non-PEO NEO Average Compensation Actually Paid Amount $ 6,060,272 5,930,256 2,208,833
Adjustment to Non-PEO NEO Compensation Footnote [Text Block] SEC rules require certain adjustments be made to the "Summary Compensation Table" totals to determine "compensation actually paid" as reported in the "Pay versus Performance Table" above. For purposes of the equity award adjustments shown below, no equity awards were cancelled due to a failure to meet vesting conditions. The following table details the applicable adjustments that were made to determine "compensation actually paid" (all amounts are averages for the non-PEO named executive officers, who we refer to as Other NEOs in the following table):
YearExecutive(s)"Summary Compensation Table" TotalDeduct Stock Award Included in "Summary Compensation Table"Add Year-end Value of Unvested Equity Awards Granted in YearChange in Value of Unvested Equity Awards Granted in Prior YearsChange in Value of Equity Awards Granted in Prior Years which Vested in Year"Pay versus Performance Table" Compensation Actually Paid
2022PEO$13,606,009$(8,661,779)$7,576,157$13,873,696$2,491,437$28,885,520
Other NEOs$3,662,609$(1,252,978)$1,095,933$2,149,270$405,438$6,060,272
2021PEO$14,536,062$(9,239,643)$10,089,728$6,588,781$1,842,765$23,817,693
Other NEOs$4,277,028$(1,658,182)$1,810,742$1,168,687$331,981$5,930,256
2020PEO$10,876,524$(5,964,855)$5,368,531$(5,219,036)$(520,966)$4,540,198
Other NEOs$3,346,954$(1,005,208)$904,717$(956,798)$(80,832)$2,208,833
    
Compensation Actually Paid vs. Total Shareholder Return [Text Block] ago-20230322_g28.jpg    
Compensation Actually Paid vs. Net Income [Text Block] ago-20230322_g29.jpg    
Compensation Actually Paid vs. Company Selected Measure [Text Block]
The following graphs show the relationship between executive compensation actually paid and, respectively, ABV per share, TSR, and net income.
ago-20230322_g27.jpg
    
Tabular List [Table Text Block] ABV per share
•Operating income per diluted share
•Operating ROE
•Operating shareholders’ equity per share
•PVP
•TSR
    
Total Shareholder Return Amount $ 135 107 66
Peer Group Total Shareholder Return Amount 113 128 99
Net Income (Loss) $ 137,000,000 $ 419,000,000 $ 368,000,000
Company Selected Measure Amount 142 131 115
PEO Name Dominic J. Frederico    
Additional 402(v) Disclosure [Text Block] Represents our Company's cumulative TSR for the measurement period December 31, 2019 through December 31 of the year indicated.Represents "Net Income (loss)" in our Company's Consolidated Income Statements included in our Annual Report on Form 10-K for each of the years ended December 31, 2022, 2021 and 2020.
Given the methodology for calculating compensation actually paid and the large component of multi-year equity awards in our executive compensation program, the movement of the price of our Common Shares over the relevant year has a large impact on the calculation of compensation actually paid to our CEO and our other named executive officers as a group during that year. Additionally, we provide our CEO and our other named executive officers their short-term and long-term incentive awards in the February following the year for which their performance is measured in making those awards, further obscuring any relationship between the performance measures and calculated compensation actually paid in the graphs above.
ABV per share is a measure of the intrinsic value of our Company on a per share basis, so an increase in ABV per share reflects the building of value for our shareholders. TSR captures the view of the equity markets to our efforts. The graphs above demonstrate some correlation between these measures and the calculated compensation actually paid. On the other hand, as described in the Compensation Discussion and Analysis — Executive Compensation Program Structure and Process, the nature of the accounting
model for the financial guaranty business, where only approximately 2% of the premiums we earned in 2022 related to new financial guaranty policies we wrote in 2022, shows how little impact activity in our core insurance business has on our net income in a given year, and the graph above demonstrates little correlation between net income and calculated compensation actually paid. 		   
Measure [Axis]: 1      
Pay vs Performance Disclosure [Table]      
Measure Name ABV per share    
Non-GAAP Measure Description [Text Block] Company-selected measure is ABV per share, which is described below.    
Measure [Axis]: 2      
Pay vs Performance Disclosure [Table]      
Measure Name Operating income per diluted share    
Measure [Axis]: 3      
Pay vs Performance Disclosure [Table]      
Measure Name Operating ROE    
Measure [Axis]: 4      
Pay vs Performance Disclosure [Table]      
Measure Name Operating shareholders’ equity per share    
Measure [Axis]: 5      
Pay vs Performance Disclosure [Table]      
Measure Name PVP    
Measure [Axis]: 6      
Pay vs Performance Disclosure [Table]      
Measure Name TSR    
PEO [Member] | Equity Awards Reported Value [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount $ (8,661,779) $ (9,239,643) $ (5,964,855)
PEO [Member] | Equity Awards Granted During the Year, Unvested [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount 7,576,157 10,089,728 5,368,531
PEO [Member] | Equity Awards Granted in Prior Years, Unvested [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount 13,873,696 6,588,781 (5,219,036)
PEO [Member] | Equity Awards Granted in Prior Years, Vested [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount 2,491,437 1,842,765 (520,966)
Non-PEO NEO [Member] | Equity Awards Reported Value [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount (1,252,978) (1,658,182) (1,005,208)
Non-PEO NEO [Member] | Equity Awards Granted During the Year, Unvested [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount 1,095,933 1,810,742 904,717
Non-PEO NEO [Member] | Equity Awards Granted in Prior Years, Unvested [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount 2,149,270 1,168,687 (956,798)
Non-PEO NEO [Member] | Equity Awards Granted in Prior Years, Vested [Member]      
Pay vs Performance Disclosure [Table]      
Adjustment to Compensation Amount $ 405,438 $ 331,981 $ (80,832)