55 is what percent of 13760 - 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 13760 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 13760, so we can write it down as 100%=13760.
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%=13760
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%=13760/55
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 13760

100%/x%=13760/55
(100/x)*x=(13760/55)*x       - we multiply both sides of the equation by x
100=250.18181818182*x       - we divide both sides of the equation by (250.18181818182) to get x
100/250.18181818182=x
0.39970930232558=x
x=0.39970930232558

now we have:
55 is 0.39970930232558% of 13760