Answer :

Sure, let's go through the steps to increase 240 by [tex]\( 32\% \)[/tex].

1. Understand the percentage increase:
- When you are asked to increase a number by a certain percentage, you first need to convert the percentage to a decimal.
- [tex]\( 32\% \)[/tex] is equivalent to [tex]\( 0.32 \)[/tex] in decimal form (since [tex]\( 32\% = \frac{32}{100} \)[/tex]).

2. Calculate the increase amount:
- Multiply the initial amount by the decimal form of the percentage to find the increase amount.
- So, [tex]\( 240 \)[/tex] multiplied by [tex]\( 0.32 \)[/tex] gives the increase amount.
- [tex]\( 240 \times 0.32 = 76.8 \)[/tex].
- Therefore, the increase amount is [tex]\( 76.8 \)[/tex].

3. Calculate the new amount after the increase:
- Add the increase amount to the initial amount.
- [tex]\( 240 + 76.8 = 316.8 \)[/tex].

So, when you increase 240 by [tex]\( 32\% \)[/tex]:

- The percentage as a decimal is [tex]\( 0.32 \)[/tex].
- The increase amount is [tex]\( 76.8 \)[/tex].
- The new amount after the increase is [tex]\( 316.8 \)[/tex].