88.8 is what percent of 118.8 - 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 118.8 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 118.8, so we can write it down as 100%=118.8.
4. We know, that x% equals 88.8 of the output value, so we can write it down as x%=88.8.
5. Now we have two simple equations:
1) 100%=118.8
2) x%=88.8
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%=118.8/88.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.8 is what percent of 118.8

100%/x%=118.8/88.8
(100/x)*x=(118.8/88.8)*x       - we multiply both sides of the equation by x
100=1.3378378378378*x       - we divide both sides of the equation by (1.3378378378378) to get x
100/1.3378378378378=x
74.747474747475=x
x=74.747474747475

now we have:
88.8 is 74.747474747475% of 118.8