55 is what percent of 1646 - 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 1646 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 1646, so we can write it down as 100%=1646.
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%=1646
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%=1646/55
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 1646

100%/x%=1646/55
(100/x)*x=(1646/55)*x       - we multiply both sides of the equation by x
100=29.927272727273*x       - we divide both sides of the equation by (29.927272727273) to get x
100/29.927272727273=x
3.3414337788578=x
x=3.3414337788578

now we have:
55 is 3.3414337788578% of 1646