55 is what percent of 2950 - 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 2950 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 2950, so we can write it down as 100%=2950.
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%=2950
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%=2950/55
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 2950

100%/x%=2950/55
(100/x)*x=(2950/55)*x       - we multiply both sides of the equation by x
100=53.636363636364*x       - we divide both sides of the equation by (53.636363636364) to get x
100/53.636363636364=x
1.864406779661=x
x=1.864406779661

now we have:
55 is 1.864406779661% of 2950