What is 116.67 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 116.67% of the output value, so we can write it down as x=116.67%.
5. Now we have two simple equations:
1) 30=100%
2) x=116.67%
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%/116.67%
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 116.67% of 30

30/x=100/116.67
(30/x)*x=(100/116.67)*x       - we multiply both sides of the equation by x
30=0.85711836804663*x       - we divide both sides of the equation by (0.85711836804663) to get x
30/0.85711836804663=x
35.001=x
x=35.001

now we have:
116.67% of 30=35.001