What is 19.578 percent of 40 - 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 40 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 40 is 100%, so we can write it down as 40=100%.
4. We know, that x is 19.578% of the output value, so we can write it down as x=19.578%.
5. Now we have two simple equations:
1) 40=100%
2) x=19.578%
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:
40/x=100%/19.578%
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 19.578% of 40

40/x=100/19.578
(40/x)*x=(100/19.578)*x       - we multiply both sides of the equation by x
40=5.1077740320768*x       - we divide both sides of the equation by (5.1077740320768) to get x
40/5.1077740320768=x
7.8312=x
x=7.8312

now we have:
19.578% of 40=7.8312