4094.57 is what percent of 12000 - 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 12000 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 12000, so we can write it down as 100%=12000.
4. We know, that x% equals 4094.57 of the output value, so we can write it down as x%=4094.57.
5. Now we have two simple equations:
1) 100%=12000
2) x%=4094.57
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%=12000/4094.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4094.57 is what percent of 12000

100%/x%=12000/4094.57
(100/x)*x=(12000/4094.57)*x       - we multiply both sides of the equation by x
100=2.9307106729156*x       - we divide both sides of the equation by (2.9307106729156) to get x
100/2.9307106729156=x
34.121416666667=x
x=34.121416666667

now we have:
4094.57 is 34.121416666667% of 12000