85.13 is what percent of 85.75 - 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 85.75 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 85.75, so we can write it down as 100%=85.75.
4. We know, that x% equals 85.13 of the output value, so we can write it down as x%=85.13.
5. Now we have two simple equations:
1) 100%=85.75
2) x%=85.13
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%=85.75/85.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.13 is what percent of 85.75

100%/x%=85.75/85.13
(100/x)*x=(85.75/85.13)*x       - we multiply both sides of the equation by x
100=1.0072829789733*x       - we divide both sides of the equation by (1.0072829789733) to get x
100/1.0072829789733=x
99.276967930029=x
x=99.276967930029

now we have:
85.13 is 99.276967930029% of 85.75