solve for the base (in $). round to hundredths when necessary. what is the base if the portion is $4,590 and…

solve for the base (in $). round to hundredths when necessary. what is the base if the portion is $4,590 and the rate is 55%?

solve for the base (in $). round to hundredths when necessary. what is the base if the portion is $4,590 and the rate is 55%?

Answer

Explanation:

Step1: Recall percentage formula

The formula is $\text{Portion}=\text{Rate}\times\text{Base}$. We need to solve for $\text{Base}$, so $\text{Base}=\frac{\text{Portion}}{\text{Rate}}$.

Step2: Convert rate to decimal

The rate is $55%$, which as a decimal is $0.55$.

Step3: Calculate the base

Substitute $\text{Portion} = 4590$ and $\text{Rate}=0.55$ into the formula $\text{Base}=\frac{\text{Portion}}{\text{Rate}}$. So, $\text{Base}=\frac{4590}{0.55}\approx8345.45$.

Answer:

$8345.45$