Debt - Narrative (Details)		1 Months Ended	3 Months Ended			6 Months Ended		9 Months Ended
	Jan. 14, 2020	Dec. 31, 2020 USD ($)	Oct. 31, 2021 USD ($)	May 02, 2021 USD ($)	May 03, 2020 USD ($)	May 02, 2021 USD ($)	May 03, 2020 USD ($)	Jul. 31, 2021 USD ($)	Dec. 30, 2020	Nov. 01, 2020 USD ($)	Jun. 11, 2020 USD ($)	Jun. 10, 2020 USD ($)	Jul. 19, 2019 USD ($)	Jan. 25, 2019 USD ($)
Extinguishment of Debt [Line Items]
Approximate weekly employee compensation, payroll taxes and payments to vendors						$ 17,000,000.0
Deferred employer payroll taxes				$ 26,200,000		$ 26,200,000
Proportion of deferred employer payroll taxes due in remainder of fiscal year (as a percent)						50.00%
Proportion of deferred employer payroll taxes due next year (as a percent)						50.00%
DZ Financing Program
Extinguishment of Debt [Line Items]
Transferors interests in transferred financial assets, maximum investment limit											$ 100,000,000.0	$ 115,000,000.0
Eligibility threshold for receivables of large customers (as a percent)		8.00%							5.00%
Covenant, maximum debt to tangible net worth ratio						3
Covenant, minimum liquid assets				15,000,000.0		$ 15,000,000.0
Borrowing availability				2,900,000		2,900,000
Long-term debt				$ 60,000,000.0	$ 60,000,000.0	$ 60,000,000.0	$ 60,000,000.0			$ 60,000,000.0
Weighted average annual interest rate during period (as a percent)				1.90%	3.30%	1.90%	3.20%
DZ Financing Program | Forecast
Extinguishment of Debt [Line Items]
Covenant, minimum tangible net worth through fiscal quarter ending July 31, 2021 (at least)								$ 20,000,000.0
Covenant, minimum tangible net worth thereafter			$ 25,000,000.0
DZ Financing Program | Letter of Credit
Extinguishment of Debt [Line Items]
Current borrowing capacity														$ 35,000,000.0
Fair value of amount outstanding				$ 22,100,000		$ 22,100,000
DZ Financing Program | Letter of Credit | Short Term Financing Program
Extinguishment of Debt [Line Items]
Fair value of amount outstanding				20,900,000		20,900,000
DZ Financing Program | Letter of Credit, Security Deposit
Extinguishment of Debt [Line Items]
Fair value of amount outstanding				$ 1,200,000		$ 1,200,000
DZ Financing Program | Federal Funds Rate | Letter of Credit
Extinguishment of Debt [Line Items]
Basis spread on variable rate (as a percent)	3.00%
DZ Financing Program | Prime Rate | Letter of Credit
Extinguishment of Debt [Line Items]
Basis spread on variable rate (as a percent)	2.50%
Minimum
Extinguishment of Debt [Line Items]
Target liquidity ratio						1.5
Minimum | DZ Financing Program
Extinguishment of Debt [Line Items]
Additional borrowing capacity of facility													$ 5,000,000.0
Increase (decrease) in borrowing capacity		$ 1,000,000.0
Maximum | DZ Financing Program
Extinguishment of Debt [Line Items]
Additional borrowing capacity of facility													$ 7,000,000.0
Increase (decrease) in borrowing capacity		$ 3,000,000.0