What is 6.66666 percent of 7500 - 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 7500 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 7500 is 100%, so we can write it down as 7500=100%.
4. We know, that x is 6.66666% of the output value, so we can write it down as x=6.66666%.
5. Now we have two simple equations:
1) 7500=100%
2) x=6.66666%
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:
7500/x=100%/6.66666%
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 6.66666% of 7500

7500/x=100/6.66666
(7500/x)*x=(100/6.66666)*x       - we multiply both sides of the equation by x
7500=15.000015000015*x       - we divide both sides of the equation by (15.000015000015) to get x
7500/15.000015000015=x
499.9995=x
x=499.9995

now we have:
6.66666% of 7500=499.9995