55 is what percent of 2922 - 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 2922 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 2922, so we can write it down as 100%=2922.
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%=2922
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%=2922/55
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 2922

100%/x%=2922/55
(100/x)*x=(2922/55)*x       - we multiply both sides of the equation by x
100=53.127272727273*x       - we divide both sides of the equation by (53.127272727273) to get x
100/53.127272727273=x
1.8822724161533=x
x=1.8822724161533

now we have:
55 is 1.8822724161533% of 2922