What is 966 percent of 5 - 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 5 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 5 is 100%, so we can write it down as 5=100%.
4. We know, that x is 966% of the output value, so we can write it down as x=966%.
5. Now we have two simple equations:
1) 5=100%
2) x=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:
5/x=100%/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 966% of 5

5/x=100/966
(5/x)*x=(100/966)*x       - we multiply both sides of the equation by x
5=0.10351966873706*x       - we divide both sides of the equation by (0.10351966873706) to get x
5/0.10351966873706=x
48.3=x
x=48.3

now we have:
966% of 5=48.3