208.33 is what percent of 244.2 - 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 244.2 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 244.2, so we can write it down as 100%=244.2.
4. We know, that x% equals 208.33 of the output value, so we can write it down as x%=208.33.
5. Now we have two simple equations:
1) 100%=244.2
2) x%=208.33
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%=244.2/208.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.33 is what percent of 244.2

100%/x%=244.2/208.33
(100/x)*x=(244.2/208.33)*x       - we multiply both sides of the equation by x
100=1.1721787548601*x       - we divide both sides of the equation by (1.1721787548601) to get x
100/1.1721787548601=x
85.31122031122=x
x=85.31122031122

now we have:
208.33 is 85.31122031122% of 244.2