Find the whole quantity if 5% of it is 600.

To find the whole quantity when you know that 5% of it equals 600, you can use a simple mathematical approach. The key is to understand what percentage means in relation to the whole. In this case, 5% represents a fraction of the total quantity you're trying to determine.

Step-by-Step Calculation

Let's break it down into manageable steps:

• Identify the percentage as a decimal: 5% can be converted to a decimal by dividing by 100. So, 5% becomes 0.05.
• Set up the equation: If 5% of the whole quantity (let's call it X) is equal to 600, we can express this as:

X * 0.05 = 600

• Isolate X: To find X, you need to divide both sides of the equation by 0.05:

X = 600 / 0.05

Performing the Division

Now, let's calculate that:

• When you divide 600 by 0.05, you can think of it as multiplying 600 by 20 (since 1 divided by 0.05 equals 20).

X = 600 * 20 = 12000

Final Result

The whole quantity is 12,000. This means that if you take 5% of 12,000, you will indeed get 600, confirming our calculation.

Real-World Application

This kind of calculation is useful in various scenarios, such as budgeting, sales commissions, or understanding discounts. For instance, if you know that a discount of 5% on a product saves you $600, you can easily determine the original price of that product using the same method.

In summary, when faced with percentage problems, remember to convert the percentage to a decimal, set up your equation, and solve for the unknown. This method will help you tackle similar questions with confidence in the future.