Question

Consider a survey involving the cookie preferences of a sample of 1,214 adults. If 9% answered "sugar/shortbread," find the decimal and reduced fraction of that percentage.

______decimal
______reduced fraction


Solve for the base. Round to hundredths when necessary.
140 is 120% of what number?


Solve the word problem for the portion, rate, or base.
A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

______%

Answer 1

To find the decimal and reduced fraction of a percentage, divide the percentage by 100. To solve for the base, divide the given number by the percentage as a decimal or fraction. To find the percentage of a quantity, divide the portion by the total and multiply by 100.

Step-by-step explanation:

To find the decimal and reduced fraction of a percentage, divide the percentage by 100.

For example, the decimal form of 9% is 0.09 and the reduced fraction is 9/100.

To solve for the base, divide the given number by the percentage as a decimal or fraction.

For example, to find the number that 140 is 120% off, divide 140 by 1.2 to get 116.67.

To find the percentage of a quantity, divide the portion by the total and multiply by 100.

For example, to find the percentage of production that is defective, divide 46.8 by 7,800 and multiply by 100 to get 0.6%.