What is 90.75 percent of 116 - 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 116 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 116 is 100%, so we can write it down as 116=100%.
4. We know, that x is 90.75% of the output value, so we can write it down as x=90.75%.
5. Now we have two simple equations:
1) 116=100%
2) x=90.75%
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:
116/x=100%/90.75%
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 90.75% of 116

116/x=100/90.75
(116/x)*x=(100/90.75)*x       - we multiply both sides of the equation by x
116=1.1019283746556*x       - we divide both sides of the equation by (1.1019283746556) to get x
116/1.1019283746556=x
105.27=x
x=105.27

now we have:
90.75% of 116=105.27