55 is what percent of 2581 - 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 2581 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 2581, so we can write it down as 100%=2581.
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%=2581
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%=2581/55
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 2581

100%/x%=2581/55
(100/x)*x=(2581/55)*x       - we multiply both sides of the equation by x
100=46.927272727273*x       - we divide both sides of the equation by (46.927272727273) to get x
100/46.927272727273=x
2.1309569934134=x
x=2.1309569934134

now we have:
55 is 2.1309569934134% of 2581