32 is what percent of 256.25 - 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 256.25 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 256.25, so we can write it down as 100%=256.25.
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%=256.25
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%=256.25/32
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 256.25

100%/x%=256.25/32
(100/x)*x=(256.25/32)*x       - we multiply both sides of the equation by x
100=8.0078125*x       - we divide both sides of the equation by (8.0078125) to get x
100/8.0078125=x
12.487804878049=x
x=12.487804878049

now we have:
32 is 12.487804878049% of 256.25