708.32 is what percent of 707.31 - 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 707.31 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 707.31, so we can write it down as 100%=707.31.
4. We know, that x% equals 708.32 of the output value, so we can write it down as x%=708.32.
5. Now we have two simple equations:
1) 100%=707.31
2) x%=708.32
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%=707.31/708.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 708.32 is what percent of 707.31

100%/x%=707.31/708.32
(100/x)*x=(707.31/708.32)*x       - we multiply both sides of the equation by x
100=0.99857409080642*x       - we divide both sides of the equation by (0.99857409080642) to get x
100/0.99857409080642=x
100.14279453139=x
x=100.14279453139

now we have:
708.32 is 100.14279453139% of 707.31