4.07 is what percent of 16.28 - 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 16.28 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 16.28, so we can write it down as 100%=16.28.
4. We know, that x% equals 4.07 of the output value, so we can write it down as x%=4.07.
5. Now we have two simple equations:
1) 100%=16.28
2) x%=4.07
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%=16.28/4.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.07 is what percent of 16.28

100%/x%=16.28/4.07
(100/x)*x=(16.28/4.07)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
4.07 is 25% of 16.28