1.25 is what percent of 15.8 - 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 15.8 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 15.8, so we can write it down as 100%=15.8.
4. We know, that x% equals 1.25 of the output value, so we can write it down as x%=1.25.
5. Now we have two simple equations:
1) 100%=15.8
2) x%=1.25
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%=15.8/1.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.25 is what percent of 15.8

100%/x%=15.8/1.25
(100/x)*x=(15.8/1.25)*x       - we multiply both sides of the equation by x
100=12.64*x       - we divide both sides of the equation by (12.64) to get x
100/12.64=x
7.9113924050633=x
x=7.9113924050633

now we have:
1.25 is 7.9113924050633% of 15.8