104.78 is what percent of 2763.79 - 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 2763.79 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 2763.79, so we can write it down as 100%=2763.79.
4. We know, that x% equals 104.78 of the output value, so we can write it down as x%=104.78.
5. Now we have two simple equations:
1) 100%=2763.79
2) x%=104.78
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%=2763.79/104.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.78 is what percent of 2763.79

100%/x%=2763.79/104.78
(100/x)*x=(2763.79/104.78)*x       - we multiply both sides of the equation by x
100=26.37707577782*x       - we divide both sides of the equation by (26.37707577782) to get x
100/26.37707577782=x
3.7911708197801=x
x=3.7911708197801

now we have:
104.78 is 3.7911708197801% of 2763.79