40 is 160% of what number?
Understand the Problem
The question is asking us to determine what number corresponds to 40 being 160% of it. To solve this, we will set up the equation based on the relationship between percentage and a number.
Answer
25
Answer for screen readers
The answer is ( x = 25 ).
Steps to Solve
- Setting up the equation
We know that 160% can be expressed as a decimal for calculation purposes. To convert 160% to decimal, we divide by 100:
$$ 160% = \frac{160}{100} = 1.6 $$
Now, let’s set up our equation. We want to find a number ( x ) such that:
$$ 1.6 \times x = 40 $$
- Solving for ( x )
To find ( x ), we need to isolate it on one side of the equation. We can do this by dividing both sides by 1.6:
$$ x = \frac{40}{1.6} $$
- Calculating the result
Now we can calculate ( x ):
$$ x = 25 $$
This means that 40 is 160% of 25.
The answer is ( x = 25 ).
More Information
This means that if you take 25 and calculate 160% of it, you will get 40. It can help to know that understanding percentages is crucial in many areas, such as finance and data interpretation.
Tips
- Forgetting to convert the percentage to a decimal before setting up the equation. Ensure you always convert percentages properly.
- Misplacing operations, such as subtracting instead of dividing or vice versa. Always follow the correct algebraic steps.
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