8.33 is what percent of 83.33 - 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 83.33 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 100% equals 83.33, so we can write it down as 100%=83.33.
4. We know, that x% equals 8.33 of the output value, so we can write it down as x%=8.33.
5. Now we have two simple equations:
1) 100%=83.33
2) x%=8.33
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:
100%/x%=83.33/8.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.33 is what percent of 83.33

100%/x%=83.33/8.33
(100/x)*x=(83.33/8.33)*x       - we multiply both sides of the equation by x
100=10.003601440576*x       - we divide both sides of the equation by (10.003601440576) to get x
100/10.003601440576=x
9.9963998559942=x
x=9.9963998559942

now we have:
8.33 is 9.9963998559942% of 83.33