55 is what percent of 12634 - 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 12634 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 12634, so we can write it down as 100%=12634.
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%=12634
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%=12634/55
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 12634

100%/x%=12634/55
(100/x)*x=(12634/55)*x       - we multiply both sides of the equation by x
100=229.70909090909*x       - we divide both sides of the equation by (229.70909090909) to get x
100/229.70909090909=x
0.43533322779801=x
x=0.43533322779801

now we have:
55 is 0.43533322779801% of 12634