466.86 is what percent of 3012 - 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 3012 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 3012, so we can write it down as 100%=3012.
4. We know, that x% equals 466.86 of the output value, so we can write it down as x%=466.86.
5. Now we have two simple equations:
1) 100%=3012
2) x%=466.86
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%=3012/466.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.86 is what percent of 3012

100%/x%=3012/466.86
(100/x)*x=(3012/466.86)*x       - we multiply both sides of the equation by x
100=6.4516129032258*x       - we divide both sides of the equation by (6.4516129032258) to get x
100/6.4516129032258=x
15.5=x
x=15.5

now we have:
466.86 is 15.5% of 3012