55 is what percent of 165.5 - 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 165.5 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 165.5, so we can write it down as 100%=165.5.
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%=165.5
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%=165.5/55
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 165.5

100%/x%=165.5/55
(100/x)*x=(165.5/55)*x       - we multiply both sides of the equation by x
100=3.0090909090909*x       - we divide both sides of the equation by (3.0090909090909) to get x
100/3.0090909090909=x
33.232628398792=x
x=33.232628398792

now we have:
55 is 33.232628398792% of 165.5