One contract produces three legitimate figures, and reporting becomes coherent only once the file names which is which.
A booking is the commitment — what the customer signed for, across whatever term the deal covers. A billing is the invoice — what you have actually asked them to pay, which for an annual-prepay deal is a year at a time and for a monthly plan is a month at a time. Recognized revenue is the earned portion — what the delivery of the service has converted into income for the period. A three-year deal, invoiced annually, delivered monthly, produces a large booking, a medium billing and a small monthly revenue figure, and every one of those is correct. The failure is not having three numbers; it is publishing one of them without saying which. When the board deck reports ARR and the financial statements report recognized revenue and nobody labels either, the two look like a contradiction rather than what they are.