80 of what number is 64?
Understand the Problem
The question is asking to find the number for which 80% equals 64. This involves setting up an equation where 0.80 times the unknown number equals 64, and then solving for that number.
Answer
The unknown number is $80$.
Answer for screen readers
The unknown number is ( 80 ).
Steps to Solve
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Set up the equation We need to represent the problem as an equation. Let ( x ) be the unknown number. The equation representing the problem is: $$ 0.80 \times x = 64 $$
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Isolate the unknown number To find ( x ), we will divide both sides of the equation by 0.80: $$ x = \frac{64}{0.80} $$
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Calculate the result Now, we will perform the division to find the value of ( x ): $$ x = \frac{64}{0.80} = 80 $$
The unknown number is ( 80 ).
More Information
This problem teaches us how to translate a percentage into an equation and solve for the unknown variable. Understanding percentages is a crucial part of math in everyday situations such as finance and statistics.
Tips
One common mistake is forgetting to convert the percentage to decimal form correctly. For instance, using 80 instead of 0.80 will lead to incorrect results. Always make sure to convert percentages to decimals by dividing by 100.
