What is 72.375 percent of 5.12 - 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 5.12 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 5.12 is 100%, so we can write it down as 5.12=100%.
4. We know, that x is 72.375% of the output value, so we can write it down as x=72.375%.
5. Now we have two simple equations:
1) 5.12=100%
2) x=72.375%
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:
5.12/x=100%/72.375%
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 72.375% of 5.12

5.12/x=100/72.375
(5.12/x)*x=(100/72.375)*x       - we multiply both sides of the equation by x
5.12=1.3816925734024*x       - we divide both sides of the equation by (1.3816925734024) to get x
5.12/1.3816925734024=x
3.7056=x
x=3.7056

now we have:
72.375% of 5.12=3.7056