15 is what percent of 15.25 - 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 15.25 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 15.25, so we can write it down as 100%=15.25.
4. We know, that x% equals 15 of the output value, so we can write it down as x%=15.
5. Now we have two simple equations:
1) 100%=15.25
2) x%=15
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%=15.25/15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15 is what percent of 15.25

100%/x%=15.25/15
(100/x)*x=(15.25/15)*x       - we multiply both sides of the equation by x
100=1.0166666666667*x       - we divide both sides of the equation by (1.0166666666667) to get x
100/1.0166666666667=x
98.360655737705=x
x=98.360655737705

now we have:
15 is 98.360655737705% of 15.25