What is 20.67 percent of 38.34 - 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 38.34 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 38.34 is 100%, so we can write it down as 38.34=100%.
4. We know, that x is 20.67% of the output value, so we can write it down as x=20.67%.
5. Now we have two simple equations:
1) 38.34=100%
2) x=20.67%
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:
38.34/x=100%/20.67%
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 20.67% of 38.34

38.34/x=100/20.67
(38.34/x)*x=(100/20.67)*x       - we multiply both sides of the equation by x
38.34=4.8379293662313*x       - we divide both sides of the equation by (4.8379293662313) to get x
38.34/4.8379293662313=x
7.924878=x
x=7.924878

now we have:
20.67% of 38.34=7.924878