55.15 is what percent of 165.423 - 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 165.423 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 165.423, so we can write it down as 100%=165.423.
4. We know, that x% equals 55.15 of the output value, so we can write it down as x%=55.15.
5. Now we have two simple equations:
1) 100%=165.423
2) x%=55.15
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%=165.423/55.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.15 is what percent of 165.423

100%/x%=165.423/55.15
(100/x)*x=(165.423/55.15)*x       - we multiply both sides of the equation by x
100=2.9995104261106*x       - we divide both sides of the equation by (2.9995104261106) to get x
100/2.9995104261106=x
33.338773931074=x
x=33.338773931074

now we have:
55.15 is 33.338773931074% of 165.423