What is 9.275 percent of 13.537 - 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 13.537 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 13.537 is 100%, so we can write it down as 13.537=100%.
4. We know, that x is 9.275% of the output value, so we can write it down as x=9.275%.
5. Now we have two simple equations:
1) 13.537=100%
2) x=9.275%
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:
13.537/x=100%/9.275%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 9.275% of 13.537

13.537/x=100/9.275
(13.537/x)*x=(100/9.275)*x       - we multiply both sides of the equation by x
13.537=10.78167115903*x       - we divide both sides of the equation by (10.78167115903) to get x
13.537/10.78167115903=x
1.25555675=x
x=1.25555675

now we have:
9.275% of 13.537=1.25555675