What is 85.75 percent of 96 - 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 96 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 96 is 100%, so we can write it down as 96=100%.
4. We know, that x is 85.75% of the output value, so we can write it down as x=85.75%.
5. Now we have two simple equations:
1) 96=100%
2) x=85.75%
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:
96/x=100%/85.75%
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 85.75% of 96

96/x=100/85.75
(96/x)*x=(100/85.75)*x       - we multiply both sides of the equation by x
96=1.1661807580175*x       - we divide both sides of the equation by (1.1661807580175) to get x
96/1.1661807580175=x
82.32=x
x=82.32

now we have:
85.75% of 96=82.32