A cyber warfare technician detects that a network firewall has successfully blocked \frac{… — Armed Services Vocational Aptitude Battery (ASVAB)

A cyber warfare technician detects that a network firewall has successfully blocked $\frac{27}{40}$ of the incoming botnet attack traffic. What percentage of the attack traffic was successfully blocked? (Enter the numerical value only)

Answer: 67.5 %

Answer

67.5

The fraction of blocked traffic is given as

\frac{27}{40}

. To find the percentage, first convert the fraction to a decimal by dividing the numerator by the denominator:

27 \div 40 = 0.675

. Next, multiply this decimal by

100

to convert it to a percentage:

0.675 \times 100 = 67.5

. Therefore,

67.5\%

of the traffic was blocked.

Step-by-Step Solution

Identify the fraction of the attack traffic that was blocked.

The fraction is

\frac{27}{40}

This establishes the mathematical relationship between the blocked traffic and the total traffic.

Convert the fraction to a decimal.

27 \div 40 = 0.675

Dividing the numerator (

27

) by the denominator (

40

) provides the decimal representation of the fraction.

Convert the decimal to a percentage.

0.675 \times 100 = 67.5

Multiplying the decimal by

100

shifts the decimal point two places to the right, yielding the percentage.

Key Concept

Converting a fraction with a non-base-10 denominator into a percentage by first calculating its decimal equivalent and then multiplying by 100.

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