27.25 is what percent of 126 - 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 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, so we can write it down as 100%=126.
4. We know, that x% equals 27.25 of the output value, so we can write it down as x%=27.25.
5. Now we have two simple equations:
1) 100%=126
2) x%=27.25
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%=126/27.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.25 is what percent of 126

100%/x%=126/27.25
(100/x)*x=(126/27.25)*x       - we multiply both sides of the equation by x
100=4.6238532110092*x       - we divide both sides of the equation by (4.6238532110092) to get x
100/4.6238532110092=x
21.626984126984=x
x=21.626984126984

now we have:
27.25 is 21.626984126984% of 126