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Revenue from contracts with customer - Changes in Contract Assets and Liabilities (Details) - EUR (€) € in Millions | 12 Months Ended
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Dec. 31, 2022 | Dec. 31, 2021
Contract with Customer, Change in Assets and Liabilities [Roll Forward] |  |
Contract Assets, Balance at beginning of the year | € 164.6 | € 119.2
Transferred from contract assets to accounts receivables | (393.4) | (268.2)
Revenue recognized during the year ending in contract assets | 116.5 | 199.7
Transfer between contract assets and liabilities | 244.2 | 113.9
Contract Assets, Balance at end of the year | 131.9 | 164.6
Contract Liabilities, Balance at beginning of the year | 11,160.9 | 5,594.1
Revenue recognized that was included in contract liabilities | (6,326.6) | (3,767.0)
Changes as a result of cumulative catch-up adjustments arising from changes in estimates | (118.0) | 39.7
Remaining performance obligations for which considerations have been received, or for which we have an unconditional right to consideration | 12,790.4 | 9,180.2
Transfer between contract assets and liabilities | 244.2 | 113.9
Contract Liabilities, Balance at end of the year | € 17,750.9 | € 11,160.9

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- Definition Contract With Customer Asset, Revenue Recognized During The Current Year + References No definition available. + Details
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- Definition Contract with Customer, Asset, Transfer Between Contract Assets and Liabilities + References No definition available. + Details
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- Definition Contract with Customer, Change in Assets and Liabilities [Roll Forward] + References No definition available. + Details
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- Definition Contract with Customer, Liability, Consideration Becoming Unconditional + References No definition available. + Details
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- Definition Amount, after allowance for credit loss, of right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 3 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130533-203044 + Details
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- Definition Amount of decrease in right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time from transfer to receivable due to right to consideration becoming unconditional. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 10 -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130551-203045 + Details
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- Definition Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130532-203044 + Details
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- Definition Amount of increase (decrease) in revenue recognized for cumulative catch-up adjustment from contract modification which (increases) decreases obligation to transfer good or service to customer for which consideration from customer has been received or is due. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 10 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130551-203045 + Details
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