124.75 is what percent of 1275.48 - 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 1275.48 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 1275.48, so we can write it down as 100%=1275.48.
4. We know, that x% equals 124.75 of the output value, so we can write it down as x%=124.75.
5. Now we have two simple equations:
1) 100%=1275.48
2) x%=124.75
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%=1275.48/124.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.75 is what percent of 1275.48

100%/x%=1275.48/124.75
(100/x)*x=(1275.48/124.75)*x       - we multiply both sides of the equation by x
100=10.224288577154*x       - we divide both sides of the equation by (10.224288577154) to get x
100/10.224288577154=x
9.7806316053564=x
x=9.7806316053564

now we have:
124.75 is 9.7806316053564% of 1275.48