What is 80.85 percent of 23.5 - 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 23.5 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 23.5 is 100%, so we can write it down as 23.5=100%.
4. We know, that x is 80.85% of the output value, so we can write it down as x=80.85%.
5. Now we have two simple equations:
1) 23.5=100%
2) x=80.85%
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:
23.5/x=100%/80.85%
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 80.85% of 23.5

23.5/x=100/80.85
(23.5/x)*x=(100/80.85)*x       - we multiply both sides of the equation by x
23.5=1.2368583797155*x       - we divide both sides of the equation by (1.2368583797155) to get x
23.5/1.2368583797155=x
18.99975=x
x=18.99975

now we have:
80.85% of 23.5=18.99975