Sure! Let's go through the problem step-by-step:
Step 1: Identify the unknown value.
We need to find out what number, when multiplied by 80%, equals 48. Let's call this unknown value \( x \).
Step 2: Convert 80% to a decimal.
To convert a percentage to a decimal, divide by 100. Therefore, 80% is equivalent to 0.8 in decimal form.
Step 3: Set up the equation.
Since 80% of \( x \) is 48, we can write this relationship as:
[tex]\[ 0.8x = 48 \][/tex]
Step 4: Solve for \( x \).
To isolate \( x \), divide both sides of the equation by 0.8:
[tex]\[ x = \frac{48}{0.8} \][/tex]
Step 5: Calculate the value.
Perform the division:
[tex]\[ x = 60 \][/tex]
Therefore, 80% of 60 is 48. The unknown value is [tex]\( \boxed{60} \)[/tex].
