What is 9.64 percent of 10.59 - 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 10.59 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 10.59 is 100%, so we can write it down as 10.59=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) 10.59=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:
10.59/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 10.59

10.59/x=100/9.64
(10.59/x)*x=(100/9.64)*x       - we multiply both sides of the equation by x
10.59=10.373443983402*x       - we divide both sides of the equation by (10.373443983402) to get x
10.59/10.373443983402=x
1.020876=x
x=1.020876

now we have:
9.64% of 10.59=1.020876