165.77 is what percent of 2368.27 - 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 2368.27 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 2368.27, so we can write it down as 100%=2368.27.
4. We know, that x% equals 165.77 of the output value, so we can write it down as x%=165.77.
5. Now we have two simple equations:
1) 100%=2368.27
2) x%=165.77
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%=2368.27/165.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.77 is what percent of 2368.27

100%/x%=2368.27/165.77
(100/x)*x=(2368.27/165.77)*x       - we multiply both sides of the equation by x
100=14.286481269228*x       - we divide both sides of the equation by (14.286481269228) to get x
100/14.286481269228=x
6.9996241982544=x
x=6.9996241982544

now we have:
165.77 is 6.9996241982544% of 2368.27