Questions: Translate to an equation and solve. 40 is 80% of what? 40 is 80% of (Simplify your answer. Type an integer or a decimal.)

Transcript text: Translate to an equation and solve. 40 is $80 \%$ of what? 40 is $80 \%$ of $\square$ (Simplify your answer. Type an integer or a decimal.)

Solution

Solution Steps

To solve this problem, we need to set up an equation where 40 is equal to 80% of some unknown number $ x $. We can represent 80% as 0.8 in decimal form. The equation will be $ 40 = 0.8x $. We then solve for $ x $ by dividing both sides of the equation by 0.8.

Step 1: Set Up the Equation

We start with the given statement: "40 is $80\%$ of what?" This can be translated into the equation: \[ 40 = 0.8x \]

Step 2: Solve for $ x $

To find $ x $, we divide both sides of the equation by $0.8$: \[ x = \frac{40}{0.8} \]

Step 3: Simplify the Expression

Perform the division: \[ x = 50 \]