170.71 is what percent of 1529.18 - 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 1529.18 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 1529.18, so we can write it down as 100%=1529.18.
4. We know, that x% equals 170.71 of the output value, so we can write it down as x%=170.71.
5. Now we have two simple equations:
1) 100%=1529.18
2) x%=170.71
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%=1529.18/170.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.71 is what percent of 1529.18

100%/x%=1529.18/170.71
(100/x)*x=(1529.18/170.71)*x       - we multiply both sides of the equation by x
100=8.9577646300744*x       - we divide both sides of the equation by (8.9577646300744) to get x
100/8.9577646300744=x
11.163499391831=x
x=11.163499391831

now we have:
170.71 is 11.163499391831% of 1529.18