707.59 is what percent of 718 - 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 718 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 718, so we can write it down as 100%=718.
4. We know, that x% equals 707.59 of the output value, so we can write it down as x%=707.59.
5. Now we have two simple equations:
1) 100%=718
2) x%=707.59
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%=718/707.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 707.59 is what percent of 718

100%/x%=718/707.59
(100/x)*x=(718/707.59)*x       - we multiply both sides of the equation by x
100=1.0147119094391*x       - we divide both sides of the equation by (1.0147119094391) to get x
100/1.0147119094391=x
98.550139275766=x
x=98.550139275766

now we have:
707.59 is 98.550139275766% of 718