51.18 is what percent of 166.32 - 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 166.32 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 166.32, so we can write it down as 100%=166.32.
4. We know, that x% equals 51.18 of the output value, so we can write it down as x%=51.18.
5. Now we have two simple equations:
1) 100%=166.32
2) x%=51.18
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%=166.32/51.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.18 is what percent of 166.32

100%/x%=166.32/51.18
(100/x)*x=(166.32/51.18)*x       - we multiply both sides of the equation by x
100=3.2497069167644*x       - we divide both sides of the equation by (3.2497069167644) to get x
100/3.2497069167644=x
30.772005772006=x
x=30.772005772006

now we have:
51.18 is 30.772005772006% of 166.32