124.55 is what percent of 660.8 - 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 660.8 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 660.8, so we can write it down as 100%=660.8.
4. We know, that x% equals 124.55 of the output value, so we can write it down as x%=124.55.
5. Now we have two simple equations:
1) 100%=660.8
2) x%=124.55
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%=660.8/124.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.55 is what percent of 660.8

100%/x%=660.8/124.55
(100/x)*x=(660.8/124.55)*x       - we multiply both sides of the equation by x
100=5.3054997992774*x       - we divide both sides of the equation by (5.3054997992774) to get x
100/5.3054997992774=x
18.848365617433=x
x=18.848365617433

now we have:
124.55 is 18.848365617433% of 660.8