28.48 is what percent of 459.43 - 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 459.43 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 459.43, so we can write it down as 100%=459.43.
4. We know, that x% equals 28.48 of the output value, so we can write it down as x%=28.48.
5. Now we have two simple equations:
1) 100%=459.43
2) x%=28.48
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%=459.43/28.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.48 is what percent of 459.43

100%/x%=459.43/28.48
(100/x)*x=(459.43/28.48)*x       - we multiply both sides of the equation by x
100=16.131671348315*x       - we divide both sides of the equation by (16.131671348315) to get x
100/16.131671348315=x
6.1989856996713=x
x=6.1989856996713

now we have:
28.48 is 6.1989856996713% of 459.43