424.59 is what percent of 16228.42 - 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 16228.42 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 16228.42, so we can write it down as 100%=16228.42.
4. We know, that x% equals 424.59 of the output value, so we can write it down as x%=424.59.
5. Now we have two simple equations:
1) 100%=16228.42
2) x%=424.59
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%=16228.42/424.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 424.59 is what percent of 16228.42

100%/x%=16228.42/424.59
(100/x)*x=(16228.42/424.59)*x       - we multiply both sides of the equation by x
100=38.221390046869*x       - we divide both sides of the equation by (38.221390046869) to get x
100/38.221390046869=x
2.616336032713=x
x=2.616336032713

now we have:
424.59 is 2.616336032713% of 16228.42