Calculate 45% of 100: Step-by-Step Percentage Solution

Q: Why do I divide by 100 to convert a percentage?

Because percent means "per hundred"! When you write 45%, you're really saying 45 out of 100, which is $ \frac{45}{100} = 0.45 $.

Q: Is there a shortcut for finding percentages of 100?

Yes! When finding any percentage of 100, the answer is just the percentage number itself. 45% of 100 = 45, 73% of 100 = 73, etc.

Q: How can I check if my percentage calculation is reasonable?

Think about it logically: 45% is less than half, so 45% of 100 should be less than 50. Since 45

Q: Can I use fractions instead of decimals?

Absolutely! You can write 45% as $ \frac{45}{100} $ and calculate: $ \frac{45}{100} \times 100 = 45 $. Both methods work!

Percentage Calculations with Decimal Conversion

Calculate 45% of 100:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 45% of 100:

Step-by-step solution

To find 45% of 100, you can multiply the percentage as a decimal by the whole number. First, convert 45% into a decimal. This is done by dividing by 100: $45\% = \frac{45}{100} = 0.45$ .

Then, multiply this decimal by 100: $0.45 \times 100 = 45$ .

Therefore, 45% of 100 is $45$ .

Final Answer

$45$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentages to decimals by dividing by 100
Technique: Multiply decimal form: $0.45 \times 100 = 45$
Check: Verify 45 is 45% of 100: $\frac{45}{100} = 0.45 = 45\%$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 45 × 100 = 4500! This treats 45% as 45 instead of 0.45, making your answer 100 times too big. Always convert the percentage to a decimal first by dividing by 100.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I divide by 100 to convert a percentage?

Because percent means "per hundred"! When you write 45%, you're really saying 45 out of 100, which is $\frac{45}{100} = 0.45$ .

Is there a shortcut for finding percentages of 100?

Yes! When finding any percentage of 100, the answer is just the percentage number itself. 45% of 100 = 45, 73% of 100 = 73, etc.

What if I need to find 45% of a different number?

Use the same method: convert 45% to 0.45, then multiply. For example, 45% of 80 = $0.45 \times 80 = 36$ .

How can I check if my percentage calculation is reasonable?

Think about it logically: 45% is less than half, so 45% of 100 should be less than 50. Since 45 < 50, our answer makes sense!

Can I use fractions instead of decimals?

Absolutely! You can write 45% as $\frac{45}{100}$ and calculate: $\frac{45}{100} \times 100 = 45$ . Both methods work!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime