28.9 is what percent of 468.2 - 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 468.2 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 468.2, so we can write it down as 100%=468.2.
4. We know, that x% equals 28.9 of the output value, so we can write it down as x%=28.9.
5. Now we have two simple equations:
1) 100%=468.2
2) x%=28.9
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%=468.2/28.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.9 is what percent of 468.2

100%/x%=468.2/28.9
(100/x)*x=(468.2/28.9)*x       - we multiply both sides of the equation by x
100=16.200692041522*x       - we divide both sides of the equation by (16.200692041522) to get x
100/16.200692041522=x
6.1725758222982=x
x=6.1725758222982

now we have:
28.9 is 6.1725758222982% of 468.2