What is 64.4 percent of 72 - 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 72 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 72 is 100%, so we can write it down as 72=100%.
4. We know, that x is 64.4% of the output value, so we can write it down as x=64.4%.
5. Now we have two simple equations:
1) 72=100%
2) x=64.4%
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:
72/x=100%/64.4%
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 64.4% of 72

72/x=100/64.4
(72/x)*x=(100/64.4)*x       - we multiply both sides of the equation by x
72=1.5527950310559*x       - we divide both sides of the equation by (1.5527950310559) to get x
72/1.5527950310559=x
46.368=x
x=46.368

now we have:
64.4% of 72=46.368