597.51 is what percent of 696 - 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 696 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 696, so we can write it down as 100%=696.
4. We know, that x% equals 597.51 of the output value, so we can write it down as x%=597.51.
5. Now we have two simple equations:
1) 100%=696
2) x%=597.51
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%=696/597.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 597.51 is what percent of 696

100%/x%=696/597.51
(100/x)*x=(696/597.51)*x       - we multiply both sides of the equation by x
100=1.1648340613546*x       - we divide both sides of the equation by (1.1648340613546) to get x
100/1.1648340613546=x
85.849137931034=x
x=85.849137931034

now we have:
597.51 is 85.849137931034% of 696