457.69 is what percent of 2115.38 - 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 2115.38 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 2115.38, so we can write it down as 100%=2115.38.
4. We know, that x% equals 457.69 of the output value, so we can write it down as x%=457.69.
5. Now we have two simple equations:
1) 100%=2115.38
2) x%=457.69
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%=2115.38/457.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 457.69 is what percent of 2115.38

100%/x%=2115.38/457.69
(100/x)*x=(2115.38/457.69)*x       - we multiply both sides of the equation by x
100=4.6218619589679*x       - we divide both sides of the equation by (4.6218619589679) to get x
100/4.6218619589679=x
21.636301751931=x
x=21.636301751931

now we have:
457.69 is 21.636301751931% of 2115.38