What is 9.64 percent of 9.53 - 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 9.53 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 9.53 is 100%, so we can write it down as 9.53=100%.
4. We know, that x is 9.64% of the output value, so we can write it down as x=9.64%.
5. Now we have two simple equations:
1) 9.53=100%
2) x=9.64%
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:
9.53/x=100%/9.64%
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 9.64% of 9.53

9.53/x=100/9.64
(9.53/x)*x=(100/9.64)*x       - we multiply both sides of the equation by x
9.53=10.373443983402*x       - we divide both sides of the equation by (10.373443983402) to get x
9.53/10.373443983402=x
0.918692=x
x=0.918692

now we have:
9.64% of 9.53=0.918692