466.2 is what percent of 3302.25 - 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 3302.25 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 3302.25, so we can write it down as 100%=3302.25.
4. We know, that x% equals 466.2 of the output value, so we can write it down as x%=466.2.
5. Now we have two simple equations:
1) 100%=3302.25
2) x%=466.2
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%=3302.25/466.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.2 is what percent of 3302.25

100%/x%=3302.25/466.2
(100/x)*x=(3302.25/466.2)*x       - we multiply both sides of the equation by x
100=7.0833333333333*x       - we divide both sides of the equation by (7.0833333333333) to get x
100/7.0833333333333=x
14.117647058824=x
x=14.117647058824

now we have:
466.2 is 14.117647058824% of 3302.25