Question

solve for base.
40 audits is 0.05% of ____ audits.

40 audits is 0.05% of \square audits.

Explanation:

Step1: Recall the percentage formula

The formula for finding the base (let's call it \( B \)) when we know the part (\( P \)) and the rate (\( R \)) is \( P = R\times B \), so we can solve for \( B \) as \( B=\frac{P}{R} \). Here, the part \( P = 40 \) and the rate \( R=0.05\% \). First, we need to convert the percentage to a decimal.
To convert \( 0.05\% \) to a decimal, we divide by 100: \( 0.05\%=\frac{0.05}{100}=0.0005 \).

Step2: Calculate the base

Using the formula \( B = \frac{P}{R} \), substitute \( P = 40 \) and \( R = 0.0005 \). So \( B=\frac{40}{0.0005} \).
Calculating \( \frac{40}{0.0005} \), we can multiply numerator and denominator by 10000 to eliminate the decimal: \( \frac{40\times10000}{0.0005\times10000}=\frac{400000}{5} = 80000 \).

Answer:

80000