475.62 is what percent of 34732.01 - 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 34732.01 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 34732.01, so we can write it down as 100%=34732.01.
4. We know, that x% equals 475.62 of the output value, so we can write it down as x%=475.62.
5. Now we have two simple equations:
1) 100%=34732.01
2) x%=475.62
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%=34732.01/475.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 475.62 is what percent of 34732.01

100%/x%=34732.01/475.62
(100/x)*x=(34732.01/475.62)*x       - we multiply both sides of the equation by x
100=73.024704596106*x       - we divide both sides of the equation by (73.024704596106) to get x
100/73.024704596106=x
1.3693995826904=x
x=1.3693995826904

now we have:
475.62 is 1.3693995826904% of 34732.01