5.56 is what percent of 8.33 - 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 8.33 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 8.33, so we can write it down as 100%=8.33.
4. We know, that x% equals 5.56 of the output value, so we can write it down as x%=5.56.
5. Now we have two simple equations:
1) 100%=8.33
2) x%=5.56
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%=8.33/5.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.56 is what percent of 8.33

100%/x%=8.33/5.56
(100/x)*x=(8.33/5.56)*x       - we multiply both sides of the equation by x
100=1.4982014388489*x       - we divide both sides of the equation by (1.4982014388489) to get x
100/1.4982014388489=x
66.746698679472=x
x=66.746698679472

now we have:
5.56 is 66.746698679472% of 8.33