32 is what percent of 58.23 - 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 58.23 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 58.23, so we can write it down as 100%=58.23.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=58.23
2) x%=32
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%=58.23/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 58.23

100%/x%=58.23/32
(100/x)*x=(58.23/32)*x       - we multiply both sides of the equation by x
100=1.8196875*x       - we divide both sides of the equation by (1.8196875) to get x
100/1.8196875=x
54.954490812296=x
x=54.954490812296

now we have:
32 is 54.954490812296% of 58.23