What is 33.8 percent of 19.942 - 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 19.942 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 19.942 is 100%, so we can write it down as 19.942=100%.
4. We know, that x is 33.8% of the output value, so we can write it down as x=33.8%.
5. Now we have two simple equations:
1) 19.942=100%
2) x=33.8%
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:
19.942/x=100%/33.8%
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 33.8% of 19.942

19.942/x=100/33.8
(19.942/x)*x=(100/33.8)*x       - we multiply both sides of the equation by x
19.942=2.9585798816568*x       - we divide both sides of the equation by (2.9585798816568) to get x
19.942/2.9585798816568=x
6.740396=x
x=6.740396

now we have:
33.8% of 19.942=6.740396