249.6 is what percent of 1352.9 - 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 1352.9 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 1352.9, so we can write it down as 100%=1352.9.
4. We know, that x% equals 249.6 of the output value, so we can write it down as x%=249.6.
5. Now we have two simple equations:
1) 100%=1352.9
2) x%=249.6
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%=1352.9/249.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 249.6 is what percent of 1352.9

100%/x%=1352.9/249.6
(100/x)*x=(1352.9/249.6)*x       - we multiply both sides of the equation by x
100=5.4202724358974*x       - we divide both sides of the equation by (5.4202724358974) to get x
100/5.4202724358974=x
18.449257151305=x
x=18.449257151305

now we have:
249.6 is 18.449257151305% of 1352.9