225.39 is what percent of 409.8 - 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 409.8 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 409.8, so we can write it down as 100%=409.8.
4. We know, that x% equals 225.39 of the output value, so we can write it down as x%=225.39.
5. Now we have two simple equations:
1) 100%=409.8
2) x%=225.39
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%=409.8/225.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.39 is what percent of 409.8

100%/x%=409.8/225.39
(100/x)*x=(409.8/225.39)*x       - we multiply both sides of the equation by x
100=1.8181818181818*x       - we divide both sides of the equation by (1.8181818181818) to get x
100/1.8181818181818=x
55=x
x=55

now we have:
225.39 is 55% of 409.8