407.23 is what percent of 2584.42 - 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 2584.42 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 2584.42, so we can write it down as 100%=2584.42.
4. We know, that x% equals 407.23 of the output value, so we can write it down as x%=407.23.
5. Now we have two simple equations:
1) 100%=2584.42
2) x%=407.23
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%=2584.42/407.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.23 is what percent of 2584.42

100%/x%=2584.42/407.23
(100/x)*x=(2584.42/407.23)*x       - we multiply both sides of the equation by x
100=6.3463399061955*x       - we divide both sides of the equation by (6.3463399061955) to get x
100/6.3463399061955=x
15.757113781816=x
x=15.757113781816

now we have:
407.23 is 15.757113781816% of 2584.42