Percent and Percentages

CD2 M29 - August 20, 2017

https://www.youtube.com/watch?v=t5LzvjtwmY8

LESSON 1

What is Percent?

• A percent means part per hundred or a hundredth. It is a ratio with 100 as the second term

• When the value of a percent exceeds 100%, it means that the percent value is greater than a whole

• To change percent to decimal, remove the % sign and then move the decimal point two places to the left

Ex:

15% --> 0.15

• To change a decimal to a percent, move the decimal point two places to the right and add a % sign

Ex:

3.1 --> 3.10%

• To change a fraction whose denominator is a factor of 100 to percent, multiply both numerator and denominator by another factor that will give you a product of 100 in the denominator. Then affix the % sign in numerator and drop the denominator

Ex:

22/100 = 22%

Ex 2:

• A fraction whose denominator is either 100 nor a factor of 100 can be changed to percent by using the following method:

1. Write the fraction: Y = Part/Whole , where Y represents the part of a whole in percent

2. Divide the numerator by the denominator - the resulting quotient is a decimal

3. Change the decimal to percent by moving the decimal point two places to the right. Then affix the % sign.

• A percentage is the result of finding a certain percent of a number

• To find the percentage of a number, change the percent to its equivalent decimal or fraction

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LESSON 2

Solving Percentage Problems

• Word problems on percentage can be solved using the formula

P = B x r

where:

P = percentage

B = base, this represents the whole or original amount

r = rate (it should ne expressed in decimal form)

• Commissions are given by employers to salespeople for being able to sell products or services.

Commissions = Multiply (x)

• A Discount is an amount deducted from the price of a commodity or service to encourage the customers to avail of them at lower prices

Discount = Subtract (-)

• An Interest is a charge made on borrowed money

Interest = Addition (+)

• A Tax is a compulsory contribution to the government for the country's expenses that is raised from people's income

Taxes = Multiply (x)