41% of 78 is what

41% of 78 is what??​

The Correct Answer and Explanation is :

To calculate 41% of 78, follow these steps:

Step-by-step Calculation:

1. Convert the percentage to a decimal:
   To convert 41% to a decimal, divide it by 100:
   [
   41\% = \frac{41}{100} = 0.41
   ]
2. Multiply the decimal by the number:
   Now, multiply the decimal (0.41) by 78:
   [
   0.41 \times 78 = 31.98
   ]

So, 41% of 78 is 31.98.

Explanation:

Percentages represent parts out of 100. In this case, 41% means 41 parts out of 100. To find 41% of 78, you are essentially determining how much of 78 corresponds to 41 out of every 100 equal parts.

Why Multiply by the Decimal?

1. Percent-to-Decimal Conversion:
   Percentages are ratios that represent a number out of 100, so converting the percentage to a decimal makes it easier to work with in mathematical calculations. Dividing by 100 shifts the decimal two places to the left.
2. Multiplying by the Number:
   After converting 41% into 0.41, multiplying this by 78 calculates how much of the 78 represents the 41%. In this case, it tells us that 41% of 78 is equivalent to 31.98. This method ensures we are finding the exact portion of 78 corresponding to the 41% value.

This is a straightforward example of using percentages in real-world calculations, which is common in various fields such as finance, healthcare, and science. It’s important to know how to properly convert percentages to decimals to avoid mistakes and ensure accurate results when applying percentages to real-world data.