56 is 28% of what number?
Understand the Problem
The question is asking to find the original number given that 56 is 28% of it. This is a percentage problem where we can set up an equation to solve for the unknown number.
Answer
$200$
Answer for screen readers
The original number is $200$.
Steps to Solve
- Define the variable
Let $x$ be the original number we are trying to find.
- Set up the equation
We are given that 56 is 28% of $x$. We can write this as an equation: $$0.28x = 56$$
- Solve for $x$
To solve for $x$, we need to divide both sides of the equation by 0.28: $$x = \frac{56}{0.28}$$
- Calculate the value of $x$
$$x = 200$$
The original number is $200$.
More Information
Percentages are used extensively in daily life, from calculating discounts to understanding financial data. In this case, understanding the relationship between a part (56) and its whole (200), given the percentage (28%), allows us to find the original number.
Tips
A common mistake is to multiply 56 by 0.28 instead of dividing. This would give you 28% of 56, instead of finding the number that 56 represents 28% of. Be careful to set up the equation correctly to avoid this error.
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