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Related parties and variable interest entities (Tables)
 12 Months Ended
Dec. 31, 2022
Related Party Transactions [Abstract]  
Schedule of Related Party Transactions
The below table shows the outstanding balances with Carl Zeiss SMT Holding GmbH & Co. KG and its subsidiaries in our Consolidated Balance Sheets, as well as our maximum exposure to losses:
Year ended December 31 (€, in millions)20212022Maximum exposure to loss
Advance payments included in Other assets982.8 1,100.3 1,100.3 
Advance payments included in Property, plant & equipment82.1 70.0 70.0 
Loan receivable124.4 364.4 364.4 
Investment agreement for 24.9% equity
892.5 923.6 923.6 
Accounts payable482.7 269.2 — 
Cost to be paid included in Accrued and other liabilities— 111.2 — 
Our maximum exposure to loss related to our involvement in Carl Zeiss SMT Holding GmbH & Co. KG as a variable interest entity includes the carrying value of each of the assets, as well as the risk of any future operating losses of Carl Zeiss SMT Holding GmbH & Co. KG, which cannot be quantified.
The total purchases from Carl Zeiss SMT Holding GmbH & Co. KG and its subsidiaries are as follows:
Year ended December 31 (€, in millions)202020212022
Total purchases1,623.9 2,070.3 2,693.6