What is 0.966 percent of 1000 - 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 1000 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 1000 is 100%, so we can write it down as 1000=100%.
4. We know, that x is 0.966% of the output value, so we can write it down as x=0.966%.
5. Now we have two simple equations:
1) 1000=100%
2) x=0.966%
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:
1000/x=100%/0.966%
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 0.966% of 1000

1000/x=100/0.966
(1000/x)*x=(100/0.966)*x       - we multiply both sides of the equation by x
1000=103.51966873706*x       - we divide both sides of the equation by (103.51966873706) to get x
1000/103.51966873706=x
9.66=x
x=9.66

now we have:
0.966% of 1000=9.66