Answer:
1. 100
2. 100
3. 100
See the description of the pattern below.
Step-by-step explanation:
We can represent each of these questions with an equation, remembering that "of" should always signify multiplication, and that percents can be changed to decimals by moving the decimal place two to the left.
1. 20% of what number is 20? (Represent "what number" with "x.")
20% = .20
.20x = 20
x = 20/.20
x = 100
2. 90% of what number is 90?
90% = .90
.90x = 90
x = 90/.90
x = 100
3. 778% of what number is 778?
778% = 7.78 not .778
7.78x = 778
x = 778/7.78
x = 100
The pattern is that the answer is always 100! A percentage of 100 will always equal that same number. Just think about it logically: when we multiply anything by 100, we move the decimal place two places to the right. 20% is .20, but when multiplied by 100 it turns back into 20!
