40000 is 20 percent of what?
Understand the Problem
The question is asking for the number that 40,000 is 20 percent of. To find this, we can set up an equation where 20% of a number x equals 40,000.
Answer
$200,000$
Answer for screen readers
The number that 40,000 is 20 percent of is $200,000$.
Steps to Solve
- Set up the equation
We know that 20% of a number $x$ equals 40,000. We can express this mathematically as: $$ 0.20 \times x = 40,000 $$
- Isolate the variable
To solve for $x$, divide both sides of the equation by 0.20: $$ x = \frac{40,000}{0.20} $$
- Perform the division
Now, calculate the right side: $$ x = \frac{40,000}{0.20} = 40,000 \div 0.20 $$
You can also think of dividing by 0.20 as multiplying by 5 (since $\frac{1}{0.20} = 5$): $$ x = 40,000 \times 5 $$
- Calculate the final answer
Now compute the value: $$ x = 200,000 $$
The number that 40,000 is 20 percent of is $200,000$.
More Information
In percentage problems like this, it is helpful to convert the percentage into a decimal to facilitate calculations. Remember that 20% can be represented as $0.20$ in decimal form.
Tips
- Confusing percentage with decimal: Make sure to convert the percentage accurately.
- Forgetting to multiply or divide correctly while isolating the variable; double-check your arithmetic.
