713.2 is what percent of 753 - 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 753 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 753, so we can write it down as 100%=753.
4. We know, that x% equals 713.2 of the output value, so we can write it down as x%=713.2.
5. Now we have two simple equations:
1) 100%=753
2) x%=713.2
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%=753/713.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 713.2 is what percent of 753

100%/x%=753/713.2
(100/x)*x=(753/713.2)*x       - we multiply both sides of the equation by x
100=1.0558048233315*x       - we divide both sides of the equation by (1.0558048233315) to get x
100/1.0558048233315=x
94.714475431607=x
x=94.714475431607

now we have:
713.2 is 94.714475431607% of 753