What is 35% of a number if 12 is 15% of that same number?

To find 35% of a number when you know that 12 is 15% of that same number, first, you need to determine the number itself.

Since 12 is 15% of the unknown number (let’s call it ( x )), you can set up the equation:

[ 0.15x = 12. ]

To find ( x ), divide both sides of the equation by 0.15:

[ x = \frac{12}{0.15}. ]

Calculating this gives:

[ x = 80. ]

Now that you have established that the number in question is 80, you can find 35% of this number:

[ 0.35 \times 80 = 28. ]

Thus, 35% of the number is 28. This shows how understanding the relationship between percentages can help solve related problems efficiently, confirming that the answer is indeed 28. This reflects not only the importance of basic arithmetic but also the significance of fluidly transitioning between percentages and their corresponding whole numbers.