Final answer:
The percent in the problem is 25%, the amount is 40, and the base (the number that 25% is taken from) is calculated to be 160 via the equation 0.25*B = 40, where B is the base.
Step-by-step explanation:
To identify the percent, amount, and base in the problem '25% of what number is 40?', we need to understand what each term represents. The term 'percent' refers to the percentage given which is 25%. The 'amount' is the part of the base represented by the percent, which in this case is 40. Finally, the 'base' is the whole quantity that the percent is taken from, which is what we are trying to find in this problem.
To solve for the base, we can set up an equation. Let's call the base 'B'. The equation based on the problem will be: 25% of B = 40, or more algebraically, 0.25 * B = 40. To find B, we need to do some algebraic rearrangement:
Divide both sides of the equation by 0.25 to isolate B:
- 0.25 * B = 40
- B = 40 / 0.25
- B = 160
So the base, or the number 25% is taken from, is 160.