Part, Whole, & Percent

Front

What is a part in relation to a whole?

Back

A part is a portion or segment of a whole. For example, if a pizza is divided into 8 slices, each slice is a part of the whole pizza.

Front

What is a whole?

Back

A whole is the complete entity or total amount. For example, a whole pizza is the entire pizza before it is sliced.

Front

What is percent?

Back

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you calculate the percent of a number?

Back

To calculate the percent of a number, divide the part by the whole and then multiply by 100. For example, to find what percent 30 is of 150, calculate (30/150) * 100 = 20%.

Front

If 75 students represent 5% of the total students, how do you find the total number of students?

Back

To find the total, divide the part (75 students) by the percent (5%) expressed as a decimal (0.05). Total = 75 / 0.05 = 1500 students.

Front

What is the formula to find the part when given the whole and the percent?

Back

The formula is: Part = Whole x (Percent / 100). For example, if the whole is 200 and the percent is 30%, Part = 200 x (30/100) = 60.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. For example, 1/4 = (1 ÷ 4) x 100 = 25%.

Front

What does it mean if a candidate receives 75% of the votes?

Back

It means that 75 out of every 100 votes were cast for that candidate. If 240 students voted, then the candidate received 180 votes (240 x 0.75).

Front

If Jason saved 30% of his birthday money and saved $12, how do you find out how much he received?

Back

To find the total amount, use the formula: Total = Saved / (Percent / 100). Total = 12 / (30/100) = $40.

Front

How do you find the total number of items if you know the percent and the number of items that represent that percent?

Back

Use the formula: Total = Part / (Percent / 100). For example, if 60% of animals are dogs and there are 42 dogs, Total = 42 / (60/100) = 70 animals.