25.71 is what percent of 421.28 - 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 421.28 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 421.28, so we can write it down as 100%=421.28.
4. We know, that x% equals 25.71 of the output value, so we can write it down as x%=25.71.
5. Now we have two simple equations:
1) 100%=421.28
2) x%=25.71
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%=421.28/25.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.71 is what percent of 421.28

100%/x%=421.28/25.71
(100/x)*x=(421.28/25.71)*x       - we multiply both sides of the equation by x
100=16.385842084792*x       - we divide both sides of the equation by (16.385842084792) to get x
100/16.385842084792=x
6.1028294720851=x
x=6.1028294720851

now we have:
25.71 is 6.1028294720851% of 421.28