538.7 is what percent of 1120.71 - 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 1120.71 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 1120.71, so we can write it down as 100%=1120.71.
4. We know, that x% equals 538.7 of the output value, so we can write it down as x%=538.7.
5. Now we have two simple equations:
1) 100%=1120.71
2) x%=538.7
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%=1120.71/538.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 538.7 is what percent of 1120.71

100%/x%=1120.71/538.7
(100/x)*x=(1120.71/538.7)*x       - we multiply both sides of the equation by x
100=2.0803972526453*x       - we divide both sides of the equation by (2.0803972526453) to get x
100/2.0803972526453=x
48.067742770208=x
x=48.067742770208

now we have:
538.7 is 48.067742770208% of 1120.71