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Allowance for Expected Credit Losses - Additional Information (Details)	Dec. 31, 2022
Credit Loss [Abstract]
Contract assets, allowance for credit loss as a percentage of assets	1.00%

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- Definition

Contract With Customer, Asset, Allowance For Credit Loss, Percentage Of Assets

+ References

No definition available.

+ Details

Name:	fls_ContractWithCustomerAssetAllowanceForCreditLossPercentageOfAssets
Namespace Prefix:	fls_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

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- References

No definition available.

+ Details

Name:	us-gaap_CreditLossAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration