What is 9600 percent of 105500 - 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 105500 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 105500 is 100%, so we can write it down as 105500=100%.
4. We know, that x is 9600% of the output value, so we can write it down as x=9600%.
5. Now we have two simple equations:
1) 105500=100%
2) x=9600%
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:
105500/x=100%/9600%
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 9600% of 105500

105500/x=100/9600
(105500/x)*x=(100/9600)*x       - we multiply both sides of the equation by x
105500=0.010416666666667*x       - we divide both sides of the equation by (0.010416666666667) to get x
105500/0.010416666666667=x
10128000=x
x=10128000

now we have:
9600% of 105500=10128000