77.51 is what percent of 85.04 - 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 85.04 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 85.04, so we can write it down as 100%=85.04.
4. We know, that x% equals 77.51 of the output value, so we can write it down as x%=77.51.
5. Now we have two simple equations:
1) 100%=85.04
2) x%=77.51
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%=85.04/77.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.51 is what percent of 85.04

100%/x%=85.04/77.51
(100/x)*x=(85.04/77.51)*x       - we multiply both sides of the equation by x
100=1.0971487549994*x       - we divide both sides of the equation by (1.0971487549994) to get x
100/1.0971487549994=x
91.145343367827=x
x=91.145343367827

now we have:
77.51 is 91.145343367827% of 85.04