Calculate the Percentage: What is 118 Over 4?

Q: Why is the answer over 100%?

When the part is larger than the whole, you get percentages over 100%! Since 118 is much bigger than 4, it makes sense that 118 is 2950% of 4. Think of it as: 118 is almost 30 times bigger than 4!

Q: How do I remember the percentage formula?

Remember: "Part over Whole, times 100". You're asking "what percentage is [part] of [whole]?" So $ \frac{\text{Part}}{\text{Whole}} \times 100\% $ gives you the answer!

Q: What if I accidentally flip the numbers?

If you calculate $ \frac{4}{118} \times 100\% $, you get about 3.4%. This tiny percentage should be a red flag - it doesn't make sense for a bigger number to be such a small percentage of a smaller number!

Q: Can percentages be this big in real life?

Absolutely! For example, if a stock price goes from $4 to $118, that's a 2950% increase! Large percentages show up in growth rates, price changes, and comparisons all the time.

Q: Do I always multiply by 100 at the end?

Yes! The multiplication by 100 converts your decimal result into a percentage. Without it, 29.5 is just a decimal - multiplying by 100 gives you 2950%.

Percentage Calculations with Numbers Greater than Whole

What is the percentage of 118 over 4?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 118 as a percentage of 4

00:05 Apply the formula for calculating percentages

00:10 Divide one number by the other and proceed to multiply by 100

00:14 Break down 118 into factors of 29.5 and 4

00:24 Simplify wherever possible

00:34 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the percentage of 118 over 4?

Step-by-step solution

To solve this problem, we need to determine what percentage 118 is of 4. We'll use the formula for percentage calculation:

\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%

Let's go through the steps:

Step 1: Identify the part (118) and the whole (4).
Step 2: Divide the part by the whole: $\frac{118}{4}$ .
Step 3: Perform the division: $\frac{118}{4} = 29.5$ .
Step 4: Convert the result into a percentage by multiplying by 100:

29.5 \times 100\% = 2950\%

Therefore, the percentage of 118 over 4 is $2950\%$ .

Final Answer

2950%

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage = (Part ÷ Whole) × 100%
Technique: Calculate 118 ÷ 4 = 29.5, then multiply by 100
Check: Verify 2950% of 4 equals 118: 29.5 × 4 = 118 ✓

Common Mistakes

Avoid these frequent errors

Confusing which number is the part versus the whole
Don't calculate 4 ÷ 118 = 3.4%! This treats 4 as the part and 118 as the whole, giving a tiny percentage. Always remember: we want to know what percentage 118 is OF 4, so 118 is the part being compared to the whole (4).

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why is the answer over 100%?

When the part is larger than the whole, you get percentages over 100%! Since 118 is much bigger than 4, it makes sense that 118 is 2950% of 4. Think of it as: 118 is almost 30 times bigger than 4!

How do I remember the percentage formula?

Remember: "Part over Whole, times 100". You're asking "what percentage is [part] of [whole]?" So $\frac{\text{Part}}{\text{Whole}} \times 100\%$ gives you the answer!

What if I accidentally flip the numbers?

If you calculate $\frac{4}{118} \times 100\%$ , you get about 3.4%. This tiny percentage should be a red flag - it doesn't make sense for a bigger number to be such a small percentage of a smaller number!

Can percentages be this big in real life?

Absolutely! For example, if a stock price goes from $4 to$ 118, that's a 2950% increase! Large percentages show up in growth rates, price changes, and comparisons all the time.

Do I always multiply by 100 at the end?

Yes! The multiplication by 100 converts your decimal result into a percentage. Without it, 29.5 is just a decimal - multiplying by 100 gives you 2950%.

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