2704.94 is what percent of 3864 - 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 3864 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 3864, so we can write it down as 100%=3864.
4. We know, that x% equals 2704.94 of the output value, so we can write it down as x%=2704.94.
5. Now we have two simple equations:
1) 100%=3864
2) x%=2704.94
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%=3864/2704.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2704.94 is what percent of 3864

100%/x%=3864/2704.94
(100/x)*x=(3864/2704.94)*x       - we multiply both sides of the equation by x
100=1.428497489778*x       - we divide both sides of the equation by (1.428497489778) to get x
100/1.428497489778=x
70.003623188406=x
x=70.003623188406

now we have:
2704.94 is 70.003623188406% of 3864