98.8 is what percent of 124.2 - 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 124.2 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 124.2, so we can write it down as 100%=124.2.
4. We know, that x% equals 98.8 of the output value, so we can write it down as x%=98.8.
5. Now we have two simple equations:
1) 100%=124.2
2) x%=98.8
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%=124.2/98.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.8 is what percent of 124.2

100%/x%=124.2/98.8
(100/x)*x=(124.2/98.8)*x       - we multiply both sides of the equation by x
100=1.2570850202429*x       - we divide both sides of the equation by (1.2570850202429) to get x
100/1.2570850202429=x
79.549114331723=x
x=79.549114331723

now we have:
98.8 is 79.549114331723% of 124.2