456.75 is what percent of 12376.37 - 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 12376.37 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 12376.37, so we can write it down as 100%=12376.37.
4. We know, that x% equals 456.75 of the output value, so we can write it down as x%=456.75.
5. Now we have two simple equations:
1) 100%=12376.37
2) x%=456.75
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%=12376.37/456.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 456.75 is what percent of 12376.37

100%/x%=12376.37/456.75
(100/x)*x=(12376.37/456.75)*x       - we multiply both sides of the equation by x
100=27.096595511768*x       - we divide both sides of the equation by (27.096595511768) to get x
100/27.096595511768=x
3.6905005264064=x
x=3.6905005264064

now we have:
456.75 is 3.6905005264064% of 12376.37