17.52 is what percent of 41.625 - 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 41.625 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 41.625, so we can write it down as 100%=41.625.
4. We know, that x% equals 17.52 of the output value, so we can write it down as x%=17.52.
5. Now we have two simple equations:
1) 100%=41.625
2) x%=17.52
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%=41.625/17.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.52 is what percent of 41.625

100%/x%=41.625/17.52
(100/x)*x=(41.625/17.52)*x       - we multiply both sides of the equation by x
100=2.3758561643836*x       - we divide both sides of the equation by (2.3758561643836) to get x
100/2.3758561643836=x
42.09009009009=x
x=42.09009009009

now we have:
17.52 is 42.09009009009% of 41.625