Question

a grade 6 4.10 solving percent problems
52 is 26% of what number?
52 is 26% of \boxed{}

Explanation:

Step1: Recall percent formula

Let the number be \( x \). The formula for "a number is \( p\% \) of another number" is \( \text{part} = \frac{p}{100} \times \text{whole} \). Here, part is 52, \( p = 26 \), and whole is \( x \). So, \( 52=\frac{26}{100}\times x \).

Step2: Solve for \( x \)

First, rewrite \( \frac{26}{100} \) as 0.26. The equation becomes \( 52 = 0.26x \). To find \( x \), divide both sides by 0.26: \( x=\frac{52}{0.26} \). Calculating \( \frac{52}{0.26} \), we get 200.

Answer:

200