446.66 is what percent of 1200 - 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 1200 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 1200, so we can write it down as 100%=1200.
4. We know, that x% equals 446.66 of the output value, so we can write it down as x%=446.66.
5. Now we have two simple equations:
1) 100%=1200
2) x%=446.66
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%=1200/446.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.66 is what percent of 1200

100%/x%=1200/446.66
(100/x)*x=(1200/446.66)*x       - we multiply both sides of the equation by x
100=2.686607262795*x       - we divide both sides of the equation by (2.686607262795) to get x
100/2.686607262795=x
37.221666666667=x
x=37.221666666667

now we have:
446.66 is 37.221666666667% of 1200