Question

50 is 110% of ____?
4 is 20% of ____?

Explanation:

First Question: 50 is 110% of ____?

Step1: Recall the percentage formula

The formula for finding the whole when a part and percentage are known is: $\text{Whole} = \frac{\text{Part}}{\text{Percentage (in decimal)}}$. Here, the part is 50, and the percentage is 110%, which as a decimal is 1.1.

Step2: Substitute values into the formula

Substitute the part (50) and the decimal form of the percentage (1.1) into the formula: $\text{Whole} = \frac{50}{1.1}$.

Step3: Calculate the result

$\frac{50}{1.1} \approx 45.45$ (rounded to two decimal places).

Second Question: 4 is 20% of ____?

Step1: Recall the percentage formula

Using the same formula: $\text{Whole} = \frac{\text{Part}}{\text{Percentage (in decimal)}}$. Here, the part is 4, and the percentage is 20%, which as a decimal is 0.2.

Step2: Substitute values into the formula

Substitute the part (4) and the decimal form of the percentage (0.2) into the formula: $\text{Whole} = \frac{4}{0.2}$.

Step3: Calculate the result

$\frac{4}{0.2} = 20$.

Answer:

For "50 is 110% of ____?": $\approx 45.45$
For "4 is 20% of ____?": $20$