What is 68.21 percent of 19.82 - 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 19.82 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 19.82 is 100%, so we can write it down as 19.82=100%.
4. We know, that x is 68.21% of the output value, so we can write it down as x=68.21%.
5. Now we have two simple equations:
1) 19.82=100%
2) x=68.21%
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:
19.82/x=100%/68.21%
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 68.21% of 19.82

19.82/x=100/68.21
(19.82/x)*x=(100/68.21)*x       - we multiply both sides of the equation by x
19.82=1.4660606949128*x       - we divide both sides of the equation by (1.4660606949128) to get x
19.82/1.4660606949128=x
13.519222=x
x=13.519222

now we have:
68.21% of 19.82=13.519222