55 is what percent of 2149 - 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 2149 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 2149, so we can write it down as 100%=2149.
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%=2149
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%=2149/55
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 2149

100%/x%=2149/55
(100/x)*x=(2149/55)*x       - we multiply both sides of the equation by x
100=39.072727272727*x       - we divide both sides of the equation by (39.072727272727) to get x
100/39.072727272727=x
2.5593299208934=x
x=2.5593299208934

now we have:
55 is 2.5593299208934% of 2149