If 2400 is the total and 1800 is on fire, what percentage of the total is on fire?

To calculate the percentage of the total that is on fire, you start by taking the amount that is on fire, which is 1800, and divide it by the total amount, which is 2400. This gives you the fraction of the total that is affected by the fire:

[

\text{Fraction on fire} = \frac{1800}{2400}

]

Next, to convert this fraction into a percentage, you multiply the result by 100:

[

\text{Percentage on fire} = \left(\frac{1800}{2400}\right) \times 100

]

Calculating the fraction gives you:

[

\frac{1800}{2400} = 0.75

]

Now, multiplying by 100 converts this to a percentage:

[

0.75 \times 100 = 75%

]

Therefore, 75% of the total amount is on fire, which corresponds to the correct answer. Understanding this calculation is vital, as it helps interpret similar situations in real-world applications, such as assessing damage or ensuring an adequate response based on percentages.