What is 60 of 2400?

Understand the Problem

The question is asking what percentage 60 is of 2400. To solve this, we will calculate the ratio of 60 to 2400 and then express it as a percentage.

Answer

$2.5\%$

Steps to Solve

Calculate the ratio of 60 to 2400

To find what percentage 60 is of 2400, we first take the ratio of 60 to 2400. This can be calculated by dividing 60 by 2400.

$$ \text{Ratio} = \frac{60}{2400} $$

Multiply the ratio by 100

To convert the ratio into a percentage, we multiply the result by 100.

$$ \text{Percentage} = \frac{60}{2400} \times 100 $$

Simplify the calculation

Now, simplify the ratio and calculate the percentage.

First, finding the ratio:

$$ \frac{60}{2400} = 0.025 $$

Then, multiply by 100:

$$ 0.025 \times 100 = 2.5 $$

The final answer is $2.5%$.

More Information

The calculation shows that 60 is 2.5% of 2400. This means that if you take 2.5% of the total amount of 2400, it will equal 60. Understanding percentages is useful in various real-life applications, such as finance, statistics, and everyday calculations.

Tips

Not multiplying by 100: A common mistake is forgetting to multiply the ratio by 100 to convert it to a percentage. Always remember that percentage is the ratio multiplied by 100.
Inaccurate division: Ensure to perform the division accurately to get the correct decimal before multiplying by 100.

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