75795.48 is what percent of 90732 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 90732 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 90732, so we can write it down as 100%=90732.
4. We know, that x% equals 75795.48 of the output value, so we can write it down as x%=75795.48.
5. Now we have two simple equations:
1) 100%=90732
2) x%=75795.48
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=90732/75795.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75795.48 is what percent of 90732

100%/x%=90732/75795.48
(100/x)*x=(90732/75795.48)*x       - we multiply both sides of the equation by x
100=1.1970634660536*x       - we divide both sides of the equation by (1.1970634660536) to get x
100/1.1970634660536=x
83.537759555614=x
x=83.537759555614

now we have:
75795.48 is 83.537759555614% of 90732