208.73 is what percent of 2609.1 - 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 2609.1 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 2609.1, so we can write it down as 100%=2609.1.
4. We know, that x% equals 208.73 of the output value, so we can write it down as x%=208.73.
5. Now we have two simple equations:
1) 100%=2609.1
2) x%=208.73
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%=2609.1/208.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.73 is what percent of 2609.1

100%/x%=2609.1/208.73
(100/x)*x=(2609.1/208.73)*x       - we multiply both sides of the equation by x
100=12.499880228046*x       - we divide both sides of the equation by (12.499880228046) to get x
100/12.499880228046=x
8.0000766547852=x
x=8.0000766547852

now we have:
208.73 is 8.0000766547852% of 2609.1