583.7 is what percent of 700.02 - 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 700.02 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 700.02, so we can write it down as 100%=700.02.
4. We know, that x% equals 583.7 of the output value, so we can write it down as x%=583.7.
5. Now we have two simple equations:
1) 100%=700.02
2) x%=583.7
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%=700.02/583.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 583.7 is what percent of 700.02

100%/x%=700.02/583.7
(100/x)*x=(700.02/583.7)*x       - we multiply both sides of the equation by x
100=1.1992804522871*x       - we divide both sides of the equation by (1.1992804522871) to get x
100/1.1992804522871=x
83.383331904803=x
x=83.383331904803

now we have:
583.7 is 83.383331904803% of 700.02