0.71 is what percent of 124.57 - 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 124.57 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 124.57, so we can write it down as 100%=124.57.
4. We know, that x% equals 0.71 of the output value, so we can write it down as x%=0.71.
5. Now we have two simple equations:
1) 100%=124.57
2) x%=0.71
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%=124.57/0.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.71 is what percent of 124.57

100%/x%=124.57/0.71
(100/x)*x=(124.57/0.71)*x       - we multiply both sides of the equation by x
100=175.45070422535*x       - we divide both sides of the equation by (175.45070422535) to get x
100/175.45070422535=x
0.56996066468652=x
x=0.56996066468652

now we have:
0.71 is 0.56996066468652% of 124.57