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Fair Value - Changes in Assets and Liabilities with Inputs Classified within Level 3 of Fair Value (Details) - Common stock warrant liability - USD ($) $ in Thousands	9 Months Ended
	Jul. 02, 2021	Jul. 03, 2020
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]
Balance at beginning of period	$ 25,312	$ 12,364
Net Realized Losses Included in Earnings	11,130	14,951
Purchases and Issuances	0	0
Sales and Settlements	(36,442)	0
Balance at end of period	$ 0	$ 27,315

X

- Definition

Fair value measurement with unobservable inputs reconciliation recurring basis liability purchases and issuances.

+ References

No definition available.

+ Details

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Period Type:	duration

X

- Definition

Fair value measurement with unobservable inputs reconciliation recurring basis liability sales and settlement.

+ References

No definition available.

+ Details

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Namespace Prefix:	mtsi_
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Period Type:	duration

X

- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

No definition available.

+ Details

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X

- Definition

Amount of gain (loss) recognized in income from liability measured at fair value on recurring basis using unobservable input (level 3).

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (c)(1)
-URI http://asc.fasb.org/extlink&oid=117815213&loc=d3e19207-110258

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X

- Definition

Fair value of financial instrument classified as a liability measured using unobservable inputs that reflect the entity's own assumption about the assumptions market participants would use in pricing.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (c)
-URI http://asc.fasb.org/extlink&oid=117815213&loc=d3e19207-110258

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- Details

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