0.25 is what percent of 9.7 - 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 9.7 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 9.7, so we can write it down as 100%=9.7.
4. We know, that x% equals 0.25 of the output value, so we can write it down as x%=0.25.
5. Now we have two simple equations:
1) 100%=9.7
2) x%=0.25
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%=9.7/0.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.25 is what percent of 9.7

100%/x%=9.7/0.25
(100/x)*x=(9.7/0.25)*x       - we multiply both sides of the equation by x
100=38.8*x       - we divide both sides of the equation by (38.8) to get x
100/38.8=x
2.5773195876289=x
x=2.5773195876289

now we have:
0.25 is 2.5773195876289% of 9.7