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Common Stock Repurchase Programs - Additional Information (Details) - USD ($) | Jan. 31, 2023 | May 31, 2021
--- | --- | ---
May 2021 Repurchase Program |  |
Share Repurchases [Line Items] |  |
Authorized repurchase amount |  | $ 1,000,000,000
January 2023 Repurchase Program |  |
Share Repurchases [Line Items] |  |
Authorized repurchase amount | $ 1,000,000,000 |

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- Definition Share Repurchases [Line Items] + References No definition available. + Details
Name: | algn_ShareRepurchasesLineItems
Namespace Prefix: | algn_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Amount of stock repurchase plan authorized. + References No definition available. + Details
Name: | us-gaap_StockRepurchaseProgramAuthorizedAmount1
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Details
Name: | us-gaap_ShareRepurchaseProgramAxis=algn_May2021RepurchaseProgramMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_ShareRepurchaseProgramAxis=algn_January2023RepurchaseProgramMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |