What is 8.3333333333333 percent of 354.6 - 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 354.6 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 354.6 is 100%, so we can write it down as 354.6=100%.
4. We know, that x is 8.3333333333333% of the output value, so we can write it down as x=8.3333333333333%.
5. Now we have two simple equations:
1) 354.6=100%
2) x=8.3333333333333%
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:
354.6/x=100%/8.3333333333333%
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 8.3333333333333% of 354.6

354.6/x=100/8.3333333333333
(354.6/x)*x=(100/8.3333333333333)*x       - we multiply both sides of the equation by x
354.6=12*x       - we divide both sides of the equation by (12) to get x
354.6/12=x
29.55=x
x=29.55

now we have:
8.3333333333333% of 354.6=29.55