What is 66.666666667 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 66.666666667% of the output value, so we can write it down as x=66.666666667%.
5. Now we have two simple equations:
1) 75=100%
2) x=66.666666667%
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%/66.666666667%
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 66.666666667% of 75

75/x=100/66.666666667
(75/x)*x=(100/66.666666667)*x       - we multiply both sides of the equation by x
75=1.4999999999925*x       - we divide both sides of the equation by (1.4999999999925) to get x
75/1.4999999999925=x
50.00000000025=x
x=50.00000000025

now we have:
66.666666667% of 75=50.00000000025