165.09 is what percent of 5020.68 - 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 5020.68 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 5020.68, so we can write it down as 100%=5020.68.
4. We know, that x% equals 165.09 of the output value, so we can write it down as x%=165.09.
5. Now we have two simple equations:
1) 100%=5020.68
2) x%=165.09
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%=5020.68/165.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.09 is what percent of 5020.68

100%/x%=5020.68/165.09
(100/x)*x=(5020.68/165.09)*x       - we multiply both sides of the equation by x
100=30.411775395239*x       - we divide both sides of the equation by (30.411775395239) to get x
100/30.411775395239=x
3.2882000047802=x
x=3.2882000047802

now we have:
165.09 is 3.2882000047802% of 5020.68