What is 11.6666 percent of 75 - 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 75 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 75 is 100%, so we can write it down as 75=100%.
4. We know, that x is 11.6666% of the output value, so we can write it down as x=11.6666%.
5. Now we have two simple equations:
1) 75=100%
2) x=11.6666%
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:
75/x=100%/11.6666%
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 11.6666% of 75

75/x=100/11.6666
(75/x)*x=(100/11.6666)*x       - we multiply both sides of the equation by x
75=8.5714775513003*x       - we divide both sides of the equation by (8.5714775513003) to get x
75/8.5714775513003=x
8.74995=x
x=8.74995

now we have:
11.6666% of 75=8.74995