32 is what percent of 181.25 - 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 181.25 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 181.25, so we can write it down as 100%=181.25.
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%=181.25
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%=181.25/32
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 181.25

100%/x%=181.25/32
(100/x)*x=(181.25/32)*x       - we multiply both sides of the equation by x
100=5.6640625*x       - we divide both sides of the equation by (5.6640625) to get x
100/5.6640625=x
17.655172413793=x
x=17.655172413793

now we have:
32 is 17.655172413793% of 181.25