What is 43.54 percent of 78.43 - 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 78.43 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 78.43 is 100%, so we can write it down as 78.43=100%.
4. We know, that x is 43.54% of the output value, so we can write it down as x=43.54%.
5. Now we have two simple equations:
1) 78.43=100%
2) x=43.54%
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:
78.43/x=100%/43.54%
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 43.54% of 78.43

78.43/x=100/43.54
(78.43/x)*x=(100/43.54)*x       - we multiply both sides of the equation by x
78.43=2.2967386311438*x       - we divide both sides of the equation by (2.2967386311438) to get x
78.43/2.2967386311438=x
34.148422=x
x=34.148422

now we have:
43.54% of 78.43=34.148422