Percentage Contexts

Student Summary

There are many everyday situations where a percentage of an amount of money is added to or subtracted from that amount in order to be paid to some other person or organization:

goes to how it works
sales tax the government added to the price of the item
gratuity
(tip)
the server added to the cost of the meal
interest the lender
(or account holder)
added to the balance of the loan, credit card, or bank account
markup the seller added to the price of an item so the seller can make a profit
markdown
(discount)
the customer subtracted from the price of an item to encourage the customer to buy it
depreciation the buyer subtracted from the price of an item as the item gets older
commission the salesperson subtracted from the payment that is collected

For example,

  • If a restaurant bill is $34 and the customer pays $40, they left $6 dollars as a tip for the server. That is 18% of $34, so they left an 18% tip. From the customer’s perspective, this can be thought of as an 18% increase of the restaurant bill.
  • If a realtor helps a family sell their home for $200,000 and earns a 3% commission, then the realtor makes $6,000, because (0.03)200,000=6,000(0.03) \boldcdot 200,000 = 6,000, and the family gets $194,000, because 200,0006,000=194,000200,000 - 6,000 = 194,000. From the family's perspective, this can be thought of as a 3% decrease on the sale price of the home.

Visual / Anchor Chart

Standards

Building On
6.EE.2.b

6.EE.A.2.b

6.RP.3.c

6.RP.A.3.c

Addressing
7.RP.3

7.RP.A.3

7.RP.3

7.RP.A.3

Building Toward
7.RP.3

7.RP.A.3