This puzzle is a variant on Sawtooth Crossed Ratio Resolution

Determine the value of {(2021!)/2027}
Where the operator {x} is defined as {x} = x - ⌊x⌋
Note: ⌊x⌋ denotes the floor function - that is, the greatest integer less than or equal to x.

*** A computer program will only be trivially different from one used in Sawtooth Crossed Ratio Resolution, so I request an analytic solution.