85 is 20% of what number?
Understand the Problem
The question is asking to determine the number for which 85 is 20% of it. This involves solving for a number using the percentage formula.
Answer
$425$
Answer for screen readers
The number for which 85 is 20% of it is $425$.
Steps to Solve
- Set up the percentage equation
We can express the given information using the formula for percentages, which is:
$$ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 $$
In this case, we know that 85 is 20% of some number (let's call it $x$). So we can set up the equation as:
$$ 20 = \frac{85}{x} \times 100 $$
- Simplify the equation
To simplify, we can multiply both sides by $x$ to eliminate the fraction:
$$ 20x = 85 \times 100 $$
This gives us:
$$ 20x = 8500 $$
- Solve for $x$
Now, we can isolate $x$ by dividing both sides by 20:
$$ x = \frac{8500}{20} $$
- Calculate the value of $x$
Performing the division:
$$ x = 425 $$
The number for which 85 is 20% of it is $425$.
More Information
So, when you take 20% of $425$, you get $85$. This type of percentage problem is very common in finance, sales, and statistics.
Tips
- Failing to convert the percentage to a decimal before using it in calculations. Make sure to understand that 20% can be written as $0.2$ in decimal form.
- Forgetting to set the problem up correctly with respect to the percentage formula. Always write down the known values clearly.
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