What is 106.66666666667 percent of 30 - 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 30 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 30 is 100%, so we can write it down as 30=100%.
4. We know, that x is 106.66666666667% of the output value, so we can write it down as x=106.66666666667%.
5. Now we have two simple equations:
1) 30=100%
2) x=106.66666666667%
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:
30/x=100%/106.66666666667%
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 106.66666666667% of 30

30/x=100/106.66666666667
(30/x)*x=(100/106.66666666667)*x       - we multiply both sides of the equation by x
30=0.93749999999997*x       - we divide both sides of the equation by (0.93749999999997) to get x
30/0.93749999999997=x
32.000000000001=x
x=32.000000000001

now we have:
106.66666666667% of 30=32.000000000001