Question

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

Explanation:

First Question: 50 is 110% of ____?

Step1: Recall percentage formula

Let the number be \( x \). The formula for "a is p% of b" is \( a = \frac{p}{100} \times b \). Here, \( a = 50 \), \( p = 110 \), so \( 50=\frac{110}{100}x \).

Step2: Solve for \( x \)

Rewrite the equation as \( x=\frac{50\times100}{110} \). Simplify: \( x = \frac{5000}{110}=\frac{500}{11}\approx45.45 \).

Step1: Use percentage formula

Let the number be \( y \). Using \( a = \frac{p}{100} \times b \), with \( a = 4 \), \( p = 20 \), we get \( 4=\frac{20}{100}y \).

Step2: Solve for \( y \)

Rewrite as \( y=\frac{4\times100}{20} \). Simplify: \( y = 20 \).

Answer:

\(\frac{500}{11}\) (or approximately \( 45.45 \))

Second Question: 4 is 20% of ____?