What is 64 percent of 46.368 - 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 46.368 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 46.368 is 100%, so we can write it down as 46.368=100%.
4. We know, that x is 64% of the output value, so we can write it down as x=64%.
5. Now we have two simple equations:
1) 46.368=100%
2) x=64%
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:
46.368/x=100%/64%
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% of 46.368

46.368/x=100/64
(46.368/x)*x=(100/64)*x       - we multiply both sides of the equation by x
46.368=1.5625*x       - we divide both sides of the equation by (1.5625) to get x
46.368/1.5625=x
29.67552=x
x=29.67552

now we have:
64% of 46.368=29.67552