32.08 is what percent of 746.47 - 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 746.47 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 746.47, so we can write it down as 100%=746.47.
4. We know, that x% equals 32.08 of the output value, so we can write it down as x%=32.08.
5. Now we have two simple equations:
1) 100%=746.47
2) x%=32.08
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%=746.47/32.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.08 is what percent of 746.47

100%/x%=746.47/32.08
(100/x)*x=(746.47/32.08)*x       - we multiply both sides of the equation by x
100=23.269014962594*x       - we divide both sides of the equation by (23.269014962594) to get x
100/23.269014962594=x
4.2975605181722=x
x=4.2975605181722

now we have:
32.08 is 4.2975605181722% of 746.47