124.88 is what percent of 1275.58 - 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 1275.58 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 1275.58, so we can write it down as 100%=1275.58.
4. We know, that x% equals 124.88 of the output value, so we can write it down as x%=124.88.
5. Now we have two simple equations:
1) 100%=1275.58
2) x%=124.88
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%=1275.58/124.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.88 is what percent of 1275.58

100%/x%=1275.58/124.88
(100/x)*x=(1275.58/124.88)*x       - we multiply both sides of the equation by x
100=10.214445868033*x       - we divide both sides of the equation by (10.214445868033) to get x
100/10.214445868033=x
9.7900562881199=x
x=9.7900562881199

now we have:
124.88 is 9.7900562881199% of 1275.58