463.61 is what percent of 3168.38 - 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 3168.38 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 3168.38, so we can write it down as 100%=3168.38.
4. We know, that x% equals 463.61 of the output value, so we can write it down as x%=463.61.
5. Now we have two simple equations:
1) 100%=3168.38
2) x%=463.61
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%=3168.38/463.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.61 is what percent of 3168.38

100%/x%=3168.38/463.61
(100/x)*x=(3168.38/463.61)*x       - we multiply both sides of the equation by x
100=6.8341493928086*x       - we divide both sides of the equation by (6.8341493928086) to get x
100/6.8341493928086=x
14.632398891547=x
x=14.632398891547

now we have:
463.61 is 14.632398891547% of 3168.38