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Shareholder Report, Line Graph (Details) DFAY_United Kingdom Small Company Portfolio_Institutional_TSR Annual {Institutional} - USD ($)
12 Months Ended
Oct. 31, 2024
Oct. 31, 2023
Oct. 31, 2022
Oct. 31, 2021
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2017
Oct. 31, 2016
Oct. 31, 2015
Oct. 31, 2025
Institutional                      
Account Value [Line Items]                      
Line Graph and Table Measure Name                     United Kingdom Small Company Portfolio – Institutional
Accumulated Value $ 13,176 $ 10,014 $ 9,206 $ 13,868 $ 9,166 $ 10,817 $ 9,822 $ 10,833 $ 8,380 $ 10,000 $ 14,913
MSCI United Kingdom Index (net div.)                      
Account Value [Line Items]                      
Line Graph and Table Measure Name                     MSCI United Kingdom Index (net div.)
Accumulated Value 14,975 12,312 10,907 12,453 8,665 11,145 10,408 10,916 8,976 10,000 $ 18,957
MSCI United Kingdom Small Cap Index (net div.)                      
Account Value [Line Items]                      
Line Graph and Table Measure Name                     MSCI United Kingdom Small Cap Index (net div.)
Accumulated Value $ 12,072 $ 9,207 $ 8,755 $ 14,034 $ 9,631 $ 11,204 $ 10,241 $ 11,113 $ 8,411 $ 10,000 $ 14,054