115.7 is what percent of 126.1 - 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 126.1 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 126.1, so we can write it down as 100%=126.1.
4. We know, that x% equals 115.7 of the output value, so we can write it down as x%=115.7.
5. Now we have two simple equations:
1) 100%=126.1
2) x%=115.7
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%=126.1/115.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.7 is what percent of 126.1

100%/x%=126.1/115.7
(100/x)*x=(126.1/115.7)*x       - we multiply both sides of the equation by x
100=1.0898876404494*x       - we divide both sides of the equation by (1.0898876404494) to get x
100/1.0898876404494=x
91.752577319588=x
x=91.752577319588

now we have:
115.7 is 91.752577319588% of 126.1