To solve the problem of finding 76% of 114, let's walk through the steps methodically.
1. Convert the Percentage to a Decimal: The percentage needs to be converted to a decimal form to use in the formula. To convert 76% to a decimal, divide it by 100.
[tex]\[
76\% = \frac{76}{100} = 0.76
\][/tex]
2. Identify the Base (B): The base (B) in this problem is 114.
3. Use the Formula [tex]\( R \cdot B = A \)[/tex]: We need to multiply the decimal form of the percentage (R) by the base (B) to find the unknown quantity (A).
[tex]\[
A = 0.76 \cdot 114
\][/tex]
4. Calculate the Product: Compute the multiplication to find the value of A.
[tex]\[
A = 0.76 \times 114 = 86.64
\][/tex]
5. Round the Result: Although the multiplication already resulted in a number with two decimal places, if it had more, we would round the result to two decimal places.
Hence, 76% of 114 is:
[tex]\[
86.64
\][/tex]
