466.67 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 466.67 of the output value, so we can write it down as x%=466.67.
5. Now we have two simple equations:
1) 100%=1200
2) x%=466.67
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%=1200/466.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.67 is what percent of 1200

100%/x%=1200/466.67
(100/x)*x=(1200/466.67)*x       - we multiply both sides of the equation by x
100=2.5714102042128*x       - we divide both sides of the equation by (2.5714102042128) to get x
100/2.5714102042128=x
38.889166666667=x
x=38.889166666667

now we have:
466.67 is 38.889166666667% of 1200