54.9 is what percent of 165.4 - 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 165.4 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 165.4, so we can write it down as 100%=165.4.
4. We know, that x% equals 54.9 of the output value, so we can write it down as x%=54.9.
5. Now we have two simple equations:
1) 100%=165.4
2) x%=54.9
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%=165.4/54.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.9 is what percent of 165.4

100%/x%=165.4/54.9
(100/x)*x=(165.4/54.9)*x       - we multiply both sides of the equation by x
100=3.0127504553734*x       - we divide both sides of the equation by (3.0127504553734) to get x
100/3.0127504553734=x
33.192261185006=x
x=33.192261185006

now we have:
54.9 is 33.192261185006% of 165.4