What is 19.99 percent of 823.5 - 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 823.5 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 823.5 is 100%, so we can write it down as 823.5=100%.
4. We know, that x is 19.99% of the output value, so we can write it down as x=19.99%.
5. Now we have two simple equations:
1) 823.5=100%
2) x=19.99%
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:
823.5/x=100%/19.99%
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 19.99% of 823.5

823.5/x=100/19.99
(823.5/x)*x=(100/19.99)*x       - we multiply both sides of the equation by x
823.5=5.0025012506253*x       - we divide both sides of the equation by (5.0025012506253) to get x
823.5/5.0025012506253=x
164.61765=x
x=164.61765

now we have:
19.99% of 823.5=164.61765