208.48 is what percent of 1143.25 - 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 1143.25 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 1143.25, so we can write it down as 100%=1143.25.
4. We know, that x% equals 208.48 of the output value, so we can write it down as x%=208.48.
5. Now we have two simple equations:
1) 100%=1143.25
2) x%=208.48
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%=1143.25/208.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.48 is what percent of 1143.25

100%/x%=1143.25/208.48
(100/x)*x=(1143.25/208.48)*x       - we multiply both sides of the equation by x
100=5.483739447429*x       - we divide both sides of the equation by (5.483739447429) to get x
100/5.483739447429=x
18.235731467308=x
x=18.235731467308

now we have:
208.48 is 18.235731467308% of 1143.25