What is 75.076923076923 percent of 15 - 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 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 15 is 100%, so we can write it down as 15=100%.
4. We know, that x is 75.076923076923% of the output value, so we can write it down as x=75.076923076923%.
5. Now we have two simple equations:
1) 15=100%
2) x=75.076923076923%
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:
15/x=100%/75.076923076923%
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 75.076923076923% of 15

15/x=100/75.076923076923
(15/x)*x=(100/75.076923076923)*x       - we multiply both sides of the equation by x
15=1.3319672131148*x       - we divide both sides of the equation by (1.3319672131148) to get x
15/1.3319672131148=x
11.261538461538=x
x=11.261538461538

now we have:
75.076923076923% of 15=11.261538461538