175.76 is what percent of 1115.6 - 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 1115.6 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 1115.6, so we can write it down as 100%=1115.6.
4. We know, that x% equals 175.76 of the output value, so we can write it down as x%=175.76.
5. Now we have two simple equations:
1) 100%=1115.6
2) x%=175.76
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%=1115.6/175.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.76 is what percent of 1115.6

100%/x%=1115.6/175.76
(100/x)*x=(1115.6/175.76)*x       - we multiply both sides of the equation by x
100=6.3472917614929*x       - we divide both sides of the equation by (6.3472917614929) to get x
100/6.3472917614929=x
15.754750806741=x
x=15.754750806741

now we have:
175.76 is 15.754750806741% of 1115.6