32.45 is what percent of 437.91 - 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 437.91 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 437.91, so we can write it down as 100%=437.91.
4. We know, that x% equals 32.45 of the output value, so we can write it down as x%=32.45.
5. Now we have two simple equations:
1) 100%=437.91
2) x%=32.45
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%=437.91/32.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.45 is what percent of 437.91

100%/x%=437.91/32.45
(100/x)*x=(437.91/32.45)*x       - we multiply both sides of the equation by x
100=13.494915254237*x       - we divide both sides of the equation by (13.494915254237) to get x
100/13.494915254237=x
7.4101984426024=x
x=7.4101984426024

now we have:
32.45 is 7.4101984426024% of 437.91