Questions: i. 84 is 20% of □ (Type an integer, proper fraction, or mixed number.)

$i. 84 is 20% of □ (Type an integer, proper fraction, or mixed number.)$

Transcript text: i. 84 is $20 \%$ of $\square$ (Type an integer, proper fraction, or mixed number.)

Solution

To find the number for which 84 is 20% of it, we can set up the equation $ 0.20 \times x = 84 $. Solving for $ x $ involves dividing 84 by 0.20.

Step 1: Set Up the Equation

We start with the equation that represents the problem: \[ 0.20 \times x = 84 \]

Step 2: Solve for $ x $

To isolate $ x $, we divide both sides of the equation by $ 0.20 $: \[ x = \frac{84}{0.20} \]

Step 3: Calculate the Value

Calculating the right side gives us: \[ x = 420 \]

Thus, the number for which 84 is 20% is \$\boxed{420}\$.

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