48.92 is what percent of 126.95 - 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 126.95 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 126.95, so we can write it down as 100%=126.95.
4. We know, that x% equals 48.92 of the output value, so we can write it down as x%=48.92.
5. Now we have two simple equations:
1) 100%=126.95
2) x%=48.92
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%=126.95/48.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.92 is what percent of 126.95

100%/x%=126.95/48.92
(100/x)*x=(126.95/48.92)*x       - we multiply both sides of the equation by x
100=2.5950531479967*x       - we divide both sides of the equation by (2.5950531479967) to get x
100/2.5950531479967=x
38.534856242615=x
x=38.534856242615

now we have:
48.92 is 38.534856242615% of 126.95