55 is what percent of 2561 - 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 2561 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 2561, so we can write it down as 100%=2561.
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%=2561
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%=2561/55
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 2561

100%/x%=2561/55
(100/x)*x=(2561/55)*x       - we multiply both sides of the equation by x
100=46.563636363636*x       - we divide both sides of the equation by (46.563636363636) to get x
100/46.563636363636=x
2.1475985942991=x
x=2.1475985942991

now we have:
55 is 2.1475985942991% of 2561