What is 40.4 percent of 78 - 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 78 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 78 is 100%, so we can write it down as 78=100%.
4. We know, that x is 40.4% of the output value, so we can write it down as x=40.4%.
5. Now we have two simple equations:
1) 78=100%
2) x=40.4%
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:
78/x=100%/40.4%
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 40.4% of 78

78/x=100/40.4
(78/x)*x=(100/40.4)*x       - we multiply both sides of the equation by x
78=2.4752475247525*x       - we divide both sides of the equation by (2.4752475247525) to get x
78/2.4752475247525=x
31.512=x
x=31.512

now we have:
40.4% of 78=31.512