percent equations

When a coin was tossed, it came up "heads" 12 times, and "tails" 8 times. What percent of the time did it come up as "tails"?

First add up the total # of tosses; 12 + 8 = 20. Next; 8 (tails) divided by 20 (total # of tosses) = 0.4... Next convert 0.4 into a percentage (move decimal twice to the right) = 40%

If a sweater regularly sold at $45, is marked down 25%, what is the new sale price?

First convert percentage into a decimal number (move decimal two increments to the left; 25 -> .25). Then multiply it by the principal ($45) = 11.25 (this is 25% of $45).. Finally subtract 11.25 from $45 to get the reduced price = $33.75

what is 125% of $500?

simply move decimal twice to the left like any other percent rate.. 500(1.25)=625

A house is assessed at 20% of its real value. If it's assessed at $36,000, what is its real value?

$36,000 divided by .20 = $180,000 ...$36,00000 divided by 20 = also $180,000 (the second equation is in the percentage conversion and easier to calculate woot woot! ((if you change the .20 into a percentage by moving the decimal twice to the right, you must also do the same to the 36,000)).

625 is 125% of what?

62500/125=500

8% of a number is 7.2, what is the number?

7.20 divided by .08 = 90 ...720 divided by 8 = also 90 (the second equation is in the percentage conversion and easier to calculate woot woot! ((if you change the .08 into a percentage by moving the decimal twice to the right, you must also do the same to the 7.2)).

When dividing a calculated % by a % rate (missing primary), what must you do to the calculated % in order to use the %rate as is?

Dance the decimal two increments to the right.

84 is what percentage of 240?

Divide 84 by 240 = .35, then convert the decimal number into a percentage by moving the decimal two increments to the right. (This is the opposite of finding out what number 35% of 240 is).

A real estate agent works on a 3% straight commission. If she sold a house for $108,000, how much did the home seller receive?

First convert percentage into a decimal number (move decimal two increments to the left; 3 -> .03). Then multiply it by the principal; .03 x $108,000 = 3240 (this is 3% of $108,000). Then you need to subtract the 3% ($3240) from the principal = $104,760

Basketball player averaged 20 points/ game. Average increased to 23 points/ game. What is the percent increase?

To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing (20 & 23). Then: divide the increase by the original number (20 points) and multiply the answer by 100 (or simply move decimal two increments to the right). If your answer is a negative number then this is a percentage decrease. 15%

Express 87&1/2% as a common fraction.

Turn the mixed fraction into an improper one; denominator multiplied by whole and added to numerator. The original denominator stays even though it was multiplied by the whole earlier = 175/2.. Then multiply the improper fraction by 1/100 (175 x 1 & 2 x 100) = 175/200 (at this point you will want to simplify by dividing the denominator and numerator by the same number to reduce, 25 divided by 175 = 7.. 25 divided by 200= 8.. Simplified answer is 7/8.

Express 5¼% as a common fraction.

Turn the mixed fraction into an improper one; denominator multiplied by whole and added to numerator. The original denominator stays even though it was multiplied by the whole earlier = 21/4.. Then multiply the improper fraction by 1/100 (21 x 1 & 4 x 100) = 21/400 (at this point you will want to simplify by dividing the denominator and numerator by the same number to reduce, however in this case, 21/400 is as low as we can get it).

What is 75% of 21.6?

First convert percentage into a decimal number (move decimal two increments to the left; 75 -> .75). Then multiply it by the primary (21.6) = 16.2

On a bank account of $2500, how much yearly interest will be paid if the rate is 3.4%?

Interest = principal or money invested x rate percentage changed to decimal x time in years.. Lets convert 3.4% into a decimal (move decimal two increments to the left; 3.4 -> 0.034) multiply 0.034 by $2500 (principal) = 85 multiplied by 1 year = $85.00

Express 4.2% as a decimal.

Move the decimal twice to the left or divide by 100 = 0.042

When dividing a calculated % by a % rate(Missing primary), what must you do to the calculated % in order to use the %rate as is?

Move the decimal two increments to the right.

36000 is 20% of what number? Missing primary

36000÷0.20=180,000 (3600000÷20= 180,000)

Change 7/200 to a percent

7 divided by 200 = 0.035 and then convert into a percentage by moving decimal two increments to the right. = 3.5%

8% of a number is 7.2 Missing primary

7.2÷.08=90 (720÷8=90)

84 is what percentage of 240 Missing % rate

84÷240= 0.35 --> 35%

Netflix costs 7.99/ month. You've offered to share the fee with your brother in law, so that you may use one of the accounts. How much is your total share of the fee? Do not forget to include 15% tax on the monthly primary.

Add 15% to the primary by; multiplying .15 (15% with the decimal moved twice to the left or divided by 100) by 7.99 ( = 1.1985 rounded up to 1.20). then add 1.20 to 7.99 ( = 9.19). Finally you want to divide 9.19 by 2 to get your half of the fee.. which is 4.595 rounded up to 4.60

What's 8% of 2300 Missing calculated % from the primary

0.08 multiplied by 2300=184