1/4  of what number is 60% of 300 base, rate, percentage solution easy 

We are given that \(\frac{1}{4}\) of some unknown number is equal to 60% of 300. To find the unknown number, we will use the formula for percentages and solve step by step.

### Step 1: Calculate 60% of 300
\[
60\% \text{ of } 300 = \frac{60}{100} \times 300 = 0.60 \times 300 = 180
\]
So, 60% of 300 is 180.

### Step 2: Set up the equation
We are told that \(\frac{1}{4}\) of some number is equal to 180. Let the unknown number be \(x\). The equation becomes:
\[
\frac{1}{4} \times x = 180
\]

### Step 3: Solve for \(x\)
Multiply both sides of the equation by 4 to isolate \(x\):
\[
x = 180 \times 4 = 720
\]

### Final Answer:
The unknown number is **720**.

Would you like further details on this, or do you have any questions?

Here are 5 related questions:
1. What is \(\frac{1}{3}\) of 720?
2. What is 75% of 300?
3. If \(\frac{1}{2}\) of a number is 180, what is the number?
4. How do you convert a fraction to a percentage?
5. How can you find 25% of 720?

**Tip:** When solving percentage problems, converting percentages to decimals makes calculations easier!

1/4 of what number is 60% of 300 base, rate, percentage solution easy

Discover how to solve the problem: '1/4 of what number is 60% of 300?' This step-by-step guide covers core math concepts like percentages and basic algebra, ideal for students in Grades 5-7. Learn how to calculate the unknown number by setting up equations and solving them easily.

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