55 is what percent of 2122 - 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 2122 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 2122, so we can write it down as 100%=2122.
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%=2122
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%=2122/55
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 2122

100%/x%=2122/55
(100/x)*x=(2122/55)*x       - we multiply both sides of the equation by x
100=38.581818181818*x       - we divide both sides of the equation by (38.581818181818) to get x
100/38.581818181818=x
2.5918944392083=x
x=2.5918944392083

now we have:
55 is 2.5918944392083% of 2122