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J) 3 is 75% of what number? square

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J) 3 is 75% of what number? square

J) 3 is 75%  of what number?
square

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CharlesMaster · Tutor for 5 years

Answer

### $3$ is $75\%$ of $4$.

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## Step 1: Define the relationship between part, percentage, and whole<br />### The problem states that $3$ is $75\%$ of an unknown number. Let the unknown number be $x$. Using the formula for percentage, we can write:<br />\[<br />\text{part} = \frac{\text{percentage}}{100} \cdot \text{whole}<br />\]<br />Substituting the given values:<br />\[<br />3 = \frac{75}{100} \cdot x<br />\]<br /><br />## Step 2: Solve for the unknown number<br />### Rearrange the equation to isolate $x$:<br />\[<br />x = \frac{3}{\frac{75}{100}}<br />\]<br />Simplify the fraction:<br />\[<br />x = \frac{3 \cdot 100}{75}<br />\]<br />Perform the calculation:<br />\[<br />x = \frac{300}{75} = 4<br />\]
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