33.82 is what percent of 54.1 - 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 54.1 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 54.1, so we can write it down as 100%=54.1.
4. We know, that x% equals 33.82 of the output value, so we can write it down as x%=33.82.
5. Now we have two simple equations:
1) 100%=54.1
2) x%=33.82
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%=54.1/33.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.82 is what percent of 54.1

100%/x%=54.1/33.82
(100/x)*x=(54.1/33.82)*x       - we multiply both sides of the equation by x
100=1.5996451803666*x       - we divide both sides of the equation by (1.5996451803666) to get x
100/1.5996451803666=x
62.513863216266=x
x=62.513863216266

now we have:
33.82 is 62.513863216266% of 54.1