What percent of 400 is 125?
Understand the Problem
The question is asking for the percentage of 400 that corresponds to 125. To solve this, we will divide 125 by 400 and then multiply the result by 100 to find the percentage.
Answer
$31.25\%$
Answer for screen readers
The percentage of 400 that corresponds to 125 is $31.25%$.
Steps to Solve
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Calculate the division To find out what percentage 125 is of 400, we start by dividing 125 by 400: $$ \frac{125}{400} $$
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Convert to percentage Next, we multiply the result from the division by 100 to convert it into a percentage: $$ \left( \frac{125}{400} \right) \times 100 $$
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Perform the calculation Now, let's do the calculations step-by-step. First, calculate the division: $$ \frac{125}{400} = 0.3125 $$
Then, multiply this result by 100: $$ 0.3125 \times 100 = 31.25 $$
The percentage of 400 that corresponds to 125 is $31.25%$.
More Information
This calculation shows that 125 is 31.25% of 400. Understanding percentages is important for comparing values and understanding proportions in various real-life contexts, such as finance and statistics.
Tips
- Confusing the order of operations: It's important to divide before multiplying by 100.
- Failing to multiply by 100 after the division, which can result in just the decimal form instead of the percentage.
