101.14 is what percent of 1155.91 - 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 1155.91 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 1155.91, so we can write it down as 100%=1155.91.
4. We know, that x% equals 101.14 of the output value, so we can write it down as x%=101.14.
5. Now we have two simple equations:
1) 100%=1155.91
2) x%=101.14
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%=1155.91/101.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.14 is what percent of 1155.91

100%/x%=1155.91/101.14
(100/x)*x=(1155.91/101.14)*x       - we multiply both sides of the equation by x
100=11.428811548349*x       - we divide both sides of the equation by (11.428811548349) to get x
100/11.428811548349=x
8.749816162158=x
x=8.749816162158

now we have:
101.14 is 8.749816162158% of 1155.91