208.31 is what percent of 6372.36 - 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 6372.36 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 6372.36, so we can write it down as 100%=6372.36.
4. We know, that x% equals 208.31 of the output value, so we can write it down as x%=208.31.
5. Now we have two simple equations:
1) 100%=6372.36
2) x%=208.31
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%=6372.36/208.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.31 is what percent of 6372.36

100%/x%=6372.36/208.31
(100/x)*x=(6372.36/208.31)*x       - we multiply both sides of the equation by x
100=30.590754164466*x       - we divide both sides of the equation by (30.590754164466) to get x
100/30.590754164466=x
3.2689615778142=x
x=3.2689615778142

now we have:
208.31 is 3.2689615778142% of 6372.36