463.29 is what percent of 3780.44 - 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 3780.44 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 3780.44, so we can write it down as 100%=3780.44.
4. We know, that x% equals 463.29 of the output value, so we can write it down as x%=463.29.
5. Now we have two simple equations:
1) 100%=3780.44
2) x%=463.29
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%=3780.44/463.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.29 is what percent of 3780.44

100%/x%=3780.44/463.29
(100/x)*x=(3780.44/463.29)*x       - we multiply both sides of the equation by x
100=8.1599861857584*x       - we divide both sides of the equation by (8.1599861857584) to get x
100/8.1599861857584=x
12.25492270741=x
x=12.25492270741

now we have:
463.29 is 12.25492270741% of 3780.44