Stock-Based Compensation - Additional Information (Detail) $ / shares in Units, shares in Thousands						12 Months Ended
	Apr. 01, 2024 USD ($) shares	Jun. 25, 2023 $ / shares	Jun. 24, 2022 $ / shares	Jan. 29, 2022	Jun. 25, 2020 USD ($) shares	May 31, 2024 USD ($) Conversion ratio $ / shares shares	May 31, 2023 USD ($) shares	May 31, 2022 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock authorized for issuance | shares						8,400
Pre-tax stock-based compensation expense						$ 10,300,000	$ 10,400,000	$ 8,700,000
Conversion ratio | Conversion ratio						3.228
Unrecognized compensation cost						$ 17,800,000
Incremental compensation costs						$ 0
Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost related to non-vested awards, expense period						5 years
Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost related to non-vested awards, expense period						3 years
Non-Qualified Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Purchase price percentage of fair market value on the grant date for stock options						100.00%
Stock options expiration period						10 years
Pre-tax stock-based compensation expense						$ 400,000	$ 200,000	100,000
Unrecognized compensation cost						$ 400,000
Unrecognized compensation cost related to non-vested awards, expense period				1 year 6 months
Outstanding unvested stock options | shares						200
Total intrinsic value						$ 2,900,000
Non-Qualified Stock Options | First Anniversary | Issued On or After June 30, 2011
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options vesting percentage						33.00%
Non-Qualified Stock Options | Second Anniversary | Issued On or After June 30, 2011
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options vesting percentage						33.00%
Non-Qualified Stock Options | Third Anniversary | Issued On or After June 30, 2011
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options vesting percentage						33.00%
Non-Qualified Stock Options | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Purchase price percentage of fair market value on the grant date for stock options						100.00%
Service-Based Restricted Common Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted common shares, granted | shares						170
Weighted average grant date fair value, per common share | $ / shares						$ 29.18
Restricted common shares, outstanding | shares						1,069	0
Restricted common shares, vested | shares						19
Market-Based Restricted Common Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Pre-tax stock-based compensation, period of recognition			5 years
Restricted common shares, granted | shares	149				35
Common share awards vesting, minimum price per share | $ / shares		$ 65
Common share awards vesting, minimum consecutive days at stated price	40 days	90 days
Weighted average grant date fair value, per common share | $ / shares		$ 20.87	$ 34.83
Pre-tax stock-based compensation	$ 5,400,000				$ 700,000
Market-Based Restricted Common Shares | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annualized ATSR percentage	20.00%
Market-Based Restricted Common Shares | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annualized ATSR percentage	5.00%
Former Parent's Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Conversion of stock to awards | shares						1,300
Plans and Former Parent's Plans
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Pre-tax stock-based compensation expense						$ 10,300,000	$ 10,400,000	8,700,000
Stock based compensation expense, after tax						$ 8,000,000	$ 7,800,000	$ 6,700,000