164.52 is what percent of 1535.59 - 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 1535.59 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 1535.59, so we can write it down as 100%=1535.59.
4. We know, that x% equals 164.52 of the output value, so we can write it down as x%=164.52.
5. Now we have two simple equations:
1) 100%=1535.59
2) x%=164.52
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%=1535.59/164.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.52 is what percent of 1535.59

100%/x%=1535.59/164.52
(100/x)*x=(1535.59/164.52)*x       - we multiply both sides of the equation by x
100=9.3337588135181*x       - we divide both sides of the equation by (9.3337588135181) to get x
100/9.3337588135181=x
10.713797302665=x
x=10.713797302665

now we have:
164.52 is 10.713797302665% of 1535.59