If 6 is 24% of a number, what is the value of 40% of that same number?

To solve the problem, we first need to determine the original number for which 6 is 24%. We start by setting up the equation where 6 equals 24% of the unknown number. We can express this mathematically as:

[ 6 = 0.24 \times X ]

where ( X ) is the unknown number. To find ( X ), we rearrange the equation:

[ X = \frac{6}{0.24} ]

Calculating this gives:

[ X = 25 ]

Now that we have determined the number ( X ) (25), we can find 40% of this number. To do this, we multiply 25 by 40% (or 0.40):

[ 0.40 \times 25 = 10 ]

This means that 40% of the original number is 10. This confirms that the value we calculated is correct, verifying that the answer to the question is indeed 10. Thus, when you're asked to find a percentage of a value, knowing how to express these percentages in fraction or decimal form and performing simple arithmetic is key. This approach can be applied to similar problems in the future.