What is 85 percent of 105.85 - 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 105.85 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 105.85 is 100%, so we can write it down as 105.85=100%.
4. We know, that x is 85% of the output value, so we can write it down as x=85%.
5. Now we have two simple equations:
1) 105.85=100%
2) x=85%
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:
105.85/x=100%/85%
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% of 105.85

105.85/x=100/85
(105.85/x)*x=(100/85)*x       - we multiply both sides of the equation by x
105.85=1.1764705882353*x       - we divide both sides of the equation by (1.1764705882353) to get x
105.85/1.1764705882353=x
89.9725=x
x=89.9725

now we have:
85% of 105.85=89.9725