What is 97.25 percent of 13 - 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 13 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 13 is 100%, so we can write it down as 13=100%.
4. We know, that x is 97.25% of the output value, so we can write it down as x=97.25%.
5. Now we have two simple equations:
1) 13=100%
2) x=97.25%
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:
13/x=100%/97.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 97.25% of 13

13/x=100/97.25
(13/x)*x=(100/97.25)*x       - we multiply both sides of the equation by x
13=1.0282776349614*x       - we divide both sides of the equation by (1.0282776349614) to get x
13/1.0282776349614=x
12.6425=x
x=12.6425

now we have:
97.25% of 13=12.6425