To find the number for which 25.83 is 52.5%, you can set up the equation:
\[ 25.83 = 0.525 \times x \]
To find \(x\), divide both sides by 0.525:
\[ x = \frac{25.83}{0.525} \]
Calculating this gives:
\[ x \approx 49.2 \]
So, 25.83 is 52.5% of approximately 49.2.
Now, for part (b), to determine what percent 152.5 is of 61, you can use the formula:
\[ \text{Percent} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 \]
Plugging in the numbers:
\[ \text{Percent} = \left( \frac{152.5}{61} \right) \times 100 \]
Calculating the fraction:
\[ \frac{152.5}{61} \approx 2.5 \]
Now multiply by 100 to convert to percent:
\[ \text{Percent} \approx 2.5 \times 100 = 250% \]
Thus, 152.5 is 250% of 61.