162.06 is what percent of 540.2 - 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 540.2 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 540.2, so we can write it down as 100%=540.2.
4. We know, that x% equals 162.06 of the output value, so we can write it down as x%=162.06.
5. Now we have two simple equations:
1) 100%=540.2
2) x%=162.06
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%=540.2/162.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.06 is what percent of 540.2

100%/x%=540.2/162.06
(100/x)*x=(540.2/162.06)*x       - we multiply both sides of the equation by x
100=3.3333333333333*x       - we divide both sides of the equation by (3.3333333333333) to get x
100/3.3333333333333=x
30=x
x=30

now we have:
162.06 is 30% of 540.2