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Percent of change

Find the percent: tax, discount and more

Kenneth bought a playground slide marked down from $575 to$506. What is the discount, as a percentage?

The percent of change formula can be used to find percent of discount.

percent of discount  =
 original price – discount price ________________________ original price

Plug $575 and$506 into the formula and simplify.

percent of discount  =
 original price – discount price ________________________ original price

=  $\frac{575-506}{575}$

=  $\frac{69}{575}$

=  0.12

Write the number as a percent.

0.12  →  12%

The percentage of discount is 12%.

With sales tax, it cost $192.96 to buy a$180 camping tend. What is the sale tax percentage?

The percent of change formula can be used to find sales tax percentage.

sales tax percentage  =
 price with tax – price before tax __________________________ price before tax

Plug $180 and$192.96 into the formula and simplify.

sales tax percentage  =
 price with tax – price before tax __________________________ price before tax

=  $\frac{192.96-180}{180}$

=  $\frac{12.96}{180}$

=  0.072

Write the number as a percent.

0.072  →  7.2%

The sales tax percentage is 7.2%.

Rogert bought a video game marked down from $33 to$27.39. What is the discount, as a percentage?

The discount is: %