76.32 is what percent of 1352.03 - 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 1352.03 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 1352.03, so we can write it down as 100%=1352.03.
4. We know, that x% equals 76.32 of the output value, so we can write it down as x%=76.32.
5. Now we have two simple equations:
1) 100%=1352.03
2) x%=76.32
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%=1352.03/76.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.32 is what percent of 1352.03

100%/x%=1352.03/76.32
(100/x)*x=(1352.03/76.32)*x       - we multiply both sides of the equation by x
100=17.715277777778*x       - we divide both sides of the equation by (17.715277777778) to get x
100/17.715277777778=x
5.6448451587613=x
x=5.6448451587613

now we have:
76.32 is 5.6448451587613% of 1352.03