7.75 is what percent of 2368 - 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 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, so we can write it down as 100%=2368.
4. We know, that x% equals 7.75 of the output value, so we can write it down as x%=7.75.
5. Now we have two simple equations:
1) 100%=2368
2) x%=7.75
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%=2368/7.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.75 is what percent of 2368

100%/x%=2368/7.75
(100/x)*x=(2368/7.75)*x       - we multiply both sides of the equation by x
100=305.54838709677*x       - we divide both sides of the equation by (305.54838709677) to get x
100/305.54838709677=x
0.32728040540541=x
x=0.32728040540541

now we have:
7.75 is 0.32728040540541% of 2368