12.04 is what percent of 446.04 - 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 446.04 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 446.04, so we can write it down as 100%=446.04.
4. We know, that x% equals 12.04 of the output value, so we can write it down as x%=12.04.
5. Now we have two simple equations:
1) 100%=446.04
2) x%=12.04
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%=446.04/12.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.04 is what percent of 446.04

100%/x%=446.04/12.04
(100/x)*x=(446.04/12.04)*x       - we multiply both sides of the equation by x
100=37.046511627907*x       - we divide both sides of the equation by (37.046511627907) to get x
100/37.046511627907=x
2.6993094789705=x
x=2.6993094789705

now we have:
12.04 is 2.6993094789705% of 446.04