32 is what percent of 8976 - 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 8976 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 8976, so we can write it down as 100%=8976.
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%=8976
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%=8976/32
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 8976

100%/x%=8976/32
(100/x)*x=(8976/32)*x       - we multiply both sides of the equation by x
100=280.5*x       - we divide both sides of the equation by (280.5) to get x
100/280.5=x
0.35650623885918=x
x=0.35650623885918

now we have:
32 is 0.35650623885918% of 8976