597.09 is what percent of 735 - 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 735 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 735, so we can write it down as 100%=735.
4. We know, that x% equals 597.09 of the output value, so we can write it down as x%=597.09.
5. Now we have two simple equations:
1) 100%=735
2) x%=597.09
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%=735/597.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 597.09 is what percent of 735

100%/x%=735/597.09
(100/x)*x=(735/597.09)*x       - we multiply both sides of the equation by x
100=1.2309702054967*x       - we divide both sides of the equation by (1.2309702054967) to get x
100/1.2309702054967=x
81.236734693878=x
x=81.236734693878

now we have:
597.09 is 81.236734693878% of 735