Calculate Percentage: Converting 200 out of 50 to Percent Form

Q: Which number goes on top of the fraction?

The number being compared (200) goes on top, and the reference number (50) goes on bottom. Think: "200 out of 50" becomes $ \frac{200}{50} $.

Q: Can I simplify the fraction first?

Absolutely! $ \frac{200}{50} = \frac{4 \times 50}{50} = 4 $. Then 4 × 100 = 400%. Simplifying makes the math easier!

Q: What does 400% actually mean in real life?

400% means something is 4 times as much as the original. If you had $50 and now have $200, your money increased by 400% of the original amount.

Percentage Calculation with Ratios Greater than One

What is of 200 out of 50 written as a percentage?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's find out what 200 over 50 is, as a percentage.

00:09 We can use a simple formula for this. Let's calculate the percentage.

00:14 Divide 200 by 50, then multiply the result by 100.

00:19 We can break down 200 into 50 times 4, to make it easier.

00:29 Remember, always simplify when you can.

00:35 And here's the solution. 200 over 50 as a percentage is 400 percent!

Step-by-step written solution

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Understand the problem

What is of 200 out of 50 written as a percentage?

Step-by-step solution

Write the numbers in the form of a fraction:

$\frac{200}{50}$

Now we multiply by 100 to find out the percentage:

$\frac{200}{50}\times100=$

Keep in mind that 200 can be broken down into an exercise:

$50\times4$

That is:

$\frac{50\times4}{50}\times100=$

We simplify the two 50s in the fraction and obtain:

$4\times100=400$

Final Answer

400%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert to fraction then multiply by 100 for percentage
Technique: Simplify $\frac{200}{50} = \frac{50 \times 4}{50} = 4$ before multiplying
Check: 400% means 4 times larger: 50 × 4 = 200 ✓

Common Mistakes

Avoid these frequent errors

Confusing which number goes in numerator vs denominator
Don't write $\frac{50}{200}$ = 25%! This gives the wrong relationship direction. Always put the compared value (200) on top and the reference value (50) on bottom to get $\frac{200}{50}$ = 400%.

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

How can a percentage be more than 100%?

Percentages over 100% are completely normal! They mean the first number is larger than the second. 400% means 4 times as large, so 200 is 4 times larger than 50.

Which number goes on top of the fraction?

The number being compared (200) goes on top, and the reference number (50) goes on bottom. Think: "200 out of 50" becomes $\frac{200}{50}$ .

Why do we multiply by 100?

Multiplying by 100 converts a decimal to a percentage. Since $\frac{200}{50} = 4.0$ , we get 4.0 × 100 = 400%.

Can I simplify the fraction first?

Absolutely! $\frac{200}{50} = \frac{4 \times 50}{50} = 4$ . Then 4 × 100 = 400%. Simplifying makes the math easier!

What does 400% actually mean in real life?

400% means something is 4 times as much as the original. If you had $50 and now have$ 200, your money increased by 400% of the original amount.

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