Question

solve for the base.
322 crates is 0.46% of ______ crates.

322 crates is 0.46% of \boxed{} crates.

Explanation:

Step1: Recall the percentage formula

The formula relating part, percent, and base is \( \text{Part} = \text{Percent} \times \text{Base} \). We need to solve for the base, so we can rearrange the formula to \( \text{Base} = \frac{\text{Part}}{\text{Percent}} \).

Step2: Convert the percentage to a decimal

The percent given is \( 0.46\% \). To convert a percentage to a decimal, we divide by 100. So \( 0.46\% = \frac{0.46}{100} = 0.0046 \).

Step3: Substitute the values into the formula

The part is 322 crates, and the percent (as a decimal) is 0.0046. Using the formula for the base, we have \( \text{Base} = \frac{322}{0.0046} \).

Step4: Perform the division

Calculating \( \frac{322}{0.0046} \), we get \( 322 \div 0.0046 = 70000 \).

Answer:

70000