What is the best way to cacluate the inverse of a percentage? For example:
100 * .85 = 85
85 * x = 100
x = 100 / 85
x = 1.17647Also,
279 * .85 = 237.15
237.15 * x = 279
x = 279 / 237.15
x = 1.17647For any percentile y (i.e. .85), how do I cacluate its inverse (i.e. 1.17647)? Is the best way to just choose arbitrary numbers (operands) as I've done above? Or is there a more elegant solution?
1 Answer
$\begingroup$Simply calculate its multiplicative inverse by definition: for a non-zero real number $y$, $$y^{-1} = \frac 1y.$$
E.g., set your initial value to 1:
1 * . 85 = .85
.85 * x = 1
x = 1 / .85
x = 1.17647
