55 is what percent of 2146 - 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 2146 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 2146, so we can write it down as 100%=2146.
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%=2146
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%=2146/55
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 2146

100%/x%=2146/55
(100/x)*x=(2146/55)*x       - we multiply both sides of the equation by x
100=39.018181818182*x       - we divide both sides of the equation by (39.018181818182) to get x
100/39.018181818182=x
2.5629077353215=x
x=2.5629077353215

now we have:
55 is 2.5629077353215% of 2146