Calculate the Whole: When 64% Equals 5

Q: How do I convert a percentage to a decimal?

Simply divide by 100 or move the decimal point two places left. For example: 64% = 64 ÷ 100 = 0.64

Q: How can I check if my answer is correct?

Multiply your answer by the original percentage: $ 7.81 \times 0.64 = 5.0064 $, which is very close to 5. The small difference is due to rounding!

Q: Is there an easier way to remember this?

Use this phrase: "To find the whole, divide the part by the percent (as a decimal)." So if 64% is 5, then the whole is 5 ÷ 0.64.

Percent-to-Whole Calculations with Division

Calculate the whole if 64 percent is equal to 5:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine the whole number

00:03 Apply the formula to convert percentages to fractions

00:09 This fraction is equal to 64%

00:17 Multiply the fraction by the whole number to obtain 5 according to the given data

00:26 Multiply by the reciprocal fraction to isolate the whole number

00:42 Simplify wherever possible

01:00 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate the whole if 64 percent is equal to 5:

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert the given percentage to a decimal.
Step 2: Use the formula to solve for the whole.
Step 3: Calculate and identify the correct option.

Now, let's work through each step:
Step 1: The given percentage is 64%. To convert it to a decimal, we divide by 100: $64\% = 0.64$ .

Step 2: Use the formula for finding the whole:
$\text{Whole} = \frac{\text{Part}}{\text{Percentage as a decimal}} = \frac{5}{0.64}$

Step 3: Perform the division:
$\frac{5}{0.64} = 7.8125$

Therefore, rounding to two decimal places, the whole is $7.81$ .

Final Answer

7.81

Key Points to Remember

Essential concepts to master this topic

Formula: Whole = Part ÷ Percentage as decimal
Technique: Convert 64% to 0.64, then calculate 5 ÷ 0.64
Check: Verify 64% of 7.81 equals 5: 0.64 × 7.81 = 5 ✓

Common Mistakes

Avoid these frequent errors

Multiplying instead of dividing by the percentage
Don't multiply 5 × 0.64 = 3.2! This gives you 64% of 5, not the whole number that 5 represents 64% of. Always divide the part by the decimal percentage to find the whole.

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 the percentage instead of multiplying?

Think of it this way: if 64% of something equals 5, then that something must be larger than 5. Dividing gives you a larger number, while multiplying would give you a smaller one!

How do I convert a percentage to a decimal?

Simply divide by 100 or move the decimal point two places left. For example: 64% = 64 ÷ 100 = 0.64

What if I get a long decimal answer?

That's normal! Round to the number of decimal places shown in the answer choices. Here we got 7.8125, which rounds to 7.81 when rounded to two decimal places.

How can I check if my answer is correct?

Multiply your answer by the original percentage: $7.81 \times 0.64 = 5.0064$ , which is very close to 5. The small difference is due to rounding!

Is there an easier way to remember this?

Use this phrase: "To find the whole, divide the part by the percent (as a decimal)." So if 64% is 5, then the whole is 5 ÷ 0.64.

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