170.2 is what percent of 187.52 - 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 187.52 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 187.52, so we can write it down as 100%=187.52.
4. We know, that x% equals 170.2 of the output value, so we can write it down as x%=170.2.
5. Now we have two simple equations:
1) 100%=187.52
2) x%=170.2
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%=187.52/170.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.2 is what percent of 187.52

100%/x%=187.52/170.2
(100/x)*x=(187.52/170.2)*x       - we multiply both sides of the equation by x
100=1.1017626321974*x       - we divide both sides of the equation by (1.1017626321974) to get x
100/1.1017626321974=x
90.763651877133=x
x=90.763651877133

now we have:
170.2 is 90.763651877133% of 187.52