105.5 is what percent of 966 - 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 966 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 100% equals 966, so we can write it down as 100%=966.
4. We know, that x% equals 105.5 of the output value, so we can write it down as x%=105.5.
5. Now we have two simple equations:
1) 100%=966
2) x%=105.5
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:
100%/x%=966/105.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.5 is what percent of 966

100%/x%=966/105.5
(100/x)*x=(966/105.5)*x       - we multiply both sides of the equation by x
100=9.1563981042654*x       - we divide both sides of the equation by (9.1563981042654) to get x
100/9.1563981042654=x
10.92132505176=x
x=10.92132505176

now we have:
105.5 is 10.92132505176% of 966