25 is what percent of 4028 - 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 4028 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 4028, so we can write it down as 100%=4028.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=4028
2) x%=25
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%=4028/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 4028

100%/x%=4028/25
(100/x)*x=(4028/25)*x       - we multiply both sides of the equation by x
100=161.12*x       - we divide both sides of the equation by (161.12) to get x
100/161.12=x
0.62065541211519=x
x=0.62065541211519

now we have:
25 is 0.62065541211519% of 4028