55 is what percent of 2265 - 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 2265 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 2265, so we can write it down as 100%=2265.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=2265
2) x%=55
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%=2265/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 2265

100%/x%=2265/55
(100/x)*x=(2265/55)*x       - we multiply both sides of the equation by x
100=41.181818181818*x       - we divide both sides of the equation by (41.181818181818) to get x
100/41.181818181818=x
2.4282560706402=x
x=2.4282560706402

now we have:
55 is 2.4282560706402% of 2265