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Find the unknown quantity in the following percent problem using the formula [tex]R \cdot B = A[/tex]. Round your answer to two decimal places.

[tex]76\%[/tex] of 114 is [tex]$\qquad$[/tex]

Sagot :

GinnyAnswer
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]
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