165.72 is what percent of 306.17 - 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 306.17 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 306.17, so we can write it down as 100%=306.17.
4. We know, that x% equals 165.72 of the output value, so we can write it down as x%=165.72.
5. Now we have two simple equations:
1) 100%=306.17
2) x%=165.72
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%=306.17/165.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.72 is what percent of 306.17

100%/x%=306.17/165.72
(100/x)*x=(306.17/165.72)*x       - we multiply both sides of the equation by x
100=1.8475138788318*x       - we divide both sides of the equation by (1.8475138788318) to get x
100/1.8475138788318=x
54.126792304929=x
x=54.126792304929

now we have:
165.72 is 54.126792304929% of 306.17