What is 299.99 percent of 0.8219 - 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 0.8219 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 0.8219 is 100%, so we can write it down as 0.8219=100%.
4. We know, that x is 299.99% of the output value, so we can write it down as x=299.99%.
5. Now we have two simple equations:
1) 0.8219=100%
2) x=299.99%
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:
0.8219/x=100%/299.99%
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 299.99% of 0.8219

0.8219/x=100/299.99
(0.8219/x)*x=(100/299.99)*x       - we multiply both sides of the equation by x
0.8219=0.33334444481483*x       - we divide both sides of the equation by (0.33334444481483) to get x
0.8219/0.33334444481483=x
2.46561781=x
x=2.46561781

now we have:
299.99% of 0.8219=2.46561781