What is 97.12 percent of 12.64 - 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 12.64 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 12.64 is 100%, so we can write it down as 12.64=100%.
4. We know, that x is 97.12% of the output value, so we can write it down as x=97.12%.
5. Now we have two simple equations:
1) 12.64=100%
2) x=97.12%
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:
12.64/x=100%/97.12%
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 97.12% of 12.64

12.64/x=100/97.12
(12.64/x)*x=(100/97.12)*x       - we multiply both sides of the equation by x
12.64=1.0296540362438*x       - we divide both sides of the equation by (1.0296540362438) to get x
12.64/1.0296540362438=x
12.275968=x
x=12.275968

now we have:
97.12% of 12.64=12.275968