55 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
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%=106
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%=106/55
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 106

100%/x%=106/55
(100/x)*x=(106/55)*x       - we multiply both sides of the equation by x
100=1.92727272727*x       - we divide both sides of the equation by (1.92727272727) to get x
100/1.92727272727=x
51.8867924528=x
x=51.8867924528

now we have:
55 is 51.8867924528% of 106