77.97 is what percent of 3264 - 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 3264 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 3264, so we can write it down as 100%=3264.
4. We know, that x% equals 77.97 of the output value, so we can write it down as x%=77.97.
5. Now we have two simple equations:
1) 100%=3264
2) x%=77.97
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%=3264/77.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.97 is what percent of 3264

100%/x%=3264/77.97
(100/x)*x=(3264/77.97)*x       - we multiply both sides of the equation by x
100=41.862254713351*x       - we divide both sides of the equation by (41.862254713351) to get x
100/41.862254713351=x
2.3887867647059=x
x=2.3887867647059

now we have:
77.97 is 2.3887867647059% of 3264