Percents

Question 1

“Percent of” means to multiply, whereas “percent greater than” means to add. Provide a conceptual example.

Answer 1

A helpful way to remember this is to think about getting a 25% raise. If you currently make $80,000 and your salary increases by 25%, you make much more than $20,000!

Question 2

Percent decreases provide you a new ____?

Answer 2

If percents decrease, you have a new basis point (number) to work off of. Therefore, it will take a larger percent to get back to where you originally started.

Question 3

What do percents represents?

Answer 3

Percents represent Part:Whole Relationships

Question 4

What does “of” mean?

Answer 4

“Of” means times (multiplication)

Question 5

What does “what” translate to?

Answer 5

“What” translates to x, or some variable.

Question 6

What does “is” translate to?

Answer 6

“Is” translates to the equals sign

Question 7

What is the equation for percent change?

Answer 7

Original percent (% of original)
\+ Change percent (% of original)  = New percent (% of original) 

The original percent is always 100% since the original value is always 100% of itself. The change percent is better known as the percent change. This equals the change in value divided by the original value.

Question 8

Percent change equation

Answer 8

Percent change (as % of original value) = change in value / original value

Question 9

New value formula

Answer 9

New percent (as % of original value) = New value / original value

Question 10

A percent INCREASE “of”…

10%… is the same as this NEW percent… which is the same as multiplying the ORIGINAL VALUE by… 1.1

Solve for:

20%
25%
50%
100%

Answer 10

20%… 120%…1.2 or 6/5
25%… 125%… 1.25 or 5/4
50%… 150%… 1.5 or 3/2
100%… 200%… 2

Question 11

A percent DECREASE of…
10%… is the same as this NEW percent (90%)… which is the same as multiplying the ORIGINAL VALUE by….(0.9)

Solve for:
20%
25%
50%
75%

Answer 11

20%… 80%… 0.8 or 4/5
25%… 75%… 0.75 or 3/4
50%… 50%… 0.5 or 1/2
75%… 25%… 0.25 or 1/4

Question 12

“Percent more than” is just like what?

Answer 12

Is just like “percent increase”

Question 13

“Percent less than” is just like what?

Answer 13

Is just like “percent decrease”

Question 14

Which number you call the original value matters. The original value is always after what word?

Answer 14

The original value is always after the “than”

Question 15

MP Page 64: Percent increase and decrease

Answer 15

If I want to find a change, whether in terms of PERCENT or ACTUAL VALUE, use the following equation:

Percent change = change in value / original value

Question 16

MP Page 65: New percent

Answer 16

If given percent decrease or increase, but not given the new percent, then use the new percent (not the decrease or increase) to solve for the NEW VALUE:

New percent = New value / original value

Question 17

Increasing or decreasing from the original

Answer 17

When talking about a percent change made to a number, ALWAYS think of the original number as 100%

Examples:

1) 10% increase = 110% of the original
2) 10% greater than = 110% of the original
3) 45% less than = 55% of the original

Question 18

Increasing or decreasing from the original part 2

Answer 18

50% greater than is the SAME AS 150% OF.