32 is what percent of 331.449 - 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 331.449 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 331.449, so we can write it down as 100%=331.449.
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%=331.449
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%=331.449/32
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 331.449

100%/x%=331.449/32
(100/x)*x=(331.449/32)*x       - we multiply both sides of the equation by x
100=10.35778125*x       - we divide both sides of the equation by (10.35778125) to get x
100/10.35778125=x
9.6545773256217=x
x=9.6545773256217

now we have:
32 is 9.6545773256217% of 331.449