208.09 is what percent of 333.09 - 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 333.09 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 333.09, so we can write it down as 100%=333.09.
4. We know, that x% equals 208.09 of the output value, so we can write it down as x%=208.09.
5. Now we have two simple equations:
1) 100%=333.09
2) x%=208.09
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%=333.09/208.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.09 is what percent of 333.09

100%/x%=333.09/208.09
(100/x)*x=(333.09/208.09)*x       - we multiply both sides of the equation by x
100=1.6007016194916*x       - we divide both sides of the equation by (1.6007016194916) to get x
100/1.6007016194916=x
62.472605001651=x
x=62.472605001651

now we have:
208.09 is 62.472605001651% of 333.09