1.25 is what percent of 15.28 - 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 15.28 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 15.28, so we can write it down as 100%=15.28.
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%=15.28
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%=15.28/1.25
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 15.28

100%/x%=15.28/1.25
(100/x)*x=(15.28/1.25)*x       - we multiply both sides of the equation by x
100=12.224*x       - we divide both sides of the equation by (12.224) to get x
100/12.224=x
8.1806282722513=x
x=8.1806282722513

now we have:
1.25 is 8.1806282722513% of 15.28