88.12 is what percent of 687.43 - 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 687.43 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 687.43, so we can write it down as 100%=687.43.
4. We know, that x% equals 88.12 of the output value, so we can write it down as x%=88.12.
5. Now we have two simple equations:
1) 100%=687.43
2) x%=88.12
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%=687.43/88.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.12 is what percent of 687.43

100%/x%=687.43/88.12
(100/x)*x=(687.43/88.12)*x       - we multiply both sides of the equation by x
100=7.8010667271902*x       - we divide both sides of the equation by (7.8010667271902) to get x
100/7.8010667271902=x
12.818759728263=x
x=12.818759728263

now we have:
88.12 is 12.818759728263% of 687.43