- What Is 20 Of 110
- What Is 20% Of 10000
- What Is 20% Of 10
- What Is 20 Of 13
- What Is 20 Of 15
- What Is 20% Of 1.5 Million
Solving Percent Problems
Example | |
Problem | Identify the percent, amount, and base in this problem. 30 is 20% of what number? |
Percent: The percent is the number with the % symbol: 20%. | |
Base: The base is the whole amount, which in this case is unknown. | |
Amount: The amount based on the percent is 30. | |
Answer | Percent = 20% Amount = 30 Base = unknown |
Identify the percent, base, and amount in this problem: What percent of 30 is 3? |
Example | ||
Problem | Write an equation that represents the following problem. 30 is 20% of what number? | |
20% of what number is 30? | Rewrite the problem in the form “percent of base is amount.” | |
Percent is: 20% Base is: unknown Amount is: 30 | Identify the percent, the base, and the amount. | |
Percent · Base = Amount 20% ·n = 30 | Write the percent equation. using n for the base, which is the unknown value. | |
Answer | 20% ·n = 30. |
Multiplication | Division |
2 · 3 = 6 | 6 ÷ 2 = 3 |
8 · 5 = 40 | 40 ÷ 8 = 5 |
7 · 4 = 28 | 28 ÷ 7 = 4 |
6 · 9 = 54 | 54 ÷ 6 = 9 |
What Is 20 Of 110
n = 30 ÷ 20% = 30 ÷ 0.20 = 150
Example | ||
Problem | What percent of 72 is 9? | |
Percent: unknown Base: 72 Amount: 9 | Identify the percent, base, and amount. | |
n · 72 = 9 | Write the percent equation: Percent · Base = Amount. Use n for the unknown (percent). | |
n = 9 ÷ 72 | Divide to undo the multiplication of n times 72. | |
Divide 9 by 72 to find the value for n, the unknown. | ||
n = 0.125 n = 12.5% | Move the decimal point two places to the right to write the decimal as a percent. | |
Answer | 12.5% of 72 is 9. |
What Is 20% Of 10000
Example | ||
Problem | What is 110% of 24? | |
Percent: 110% Base: 24 Amount: unknown | Identify the percent, the base, and the amount. | |
110% · 24 = n | Write the percent equation. Percent · Base = Amount. The amount is unknown, so use n. | |
1.10 · 24 = n 1.10 · 24 = 26.4 = n | Write the percent as a decimal by moving the decimal point two places to the left. Multiply 24 by 1.10 or 1.1. | |
Answer | 26.4 is 110% of 24. |
18 is what percent of 48? A) 0.375% B) 8.64% C) 37.5% D) 864% |
What Is 20% Of 10
Percent =
Example | ||
Problem | Write a proportion to find the answer to the following question. 30 is 20% of what number? | |
= | The percent in this problem is 20%. Write this percent in fractional form, with 100 as the denominator. | |
The percent is written as the ratio , the amount is 30, and the base is unknown. | ||
20 • n = 30 • 100 20 • n = 3,000 n = 3,000 ÷ 20 n = 150 | Cross multiply and solve for the unknown, n, by dividing 3,000 by 20. | |
Answer | 30 is 20% of 150. |
Example | ||
Problem | What percent of 72 is 9? | |
Percent = | ||
The percent is the ratio of n to 100. The amount is 9, and the base is 72. | ||
n • 72 = 9 • 100 n • 72 = 900 n = 900 ÷ 72 n = 12.5 | Cross multiply and solve for n by dividing 900 by 72. | |
Answer | 12.5% of 72 is 9. | The percent is = 12.5%. |
Example | ||
Problem | What is 110% of 24? | |
Percent = | ||
The percent is the ratio . The amount is unknown, and the base is 24. | ||
24 • 110 = 100 • n 2,640 ÷ 100= n 26.4 = n | Cross multiply and solve for n by dividing 2,640 by 100. | |
Answer | 26.4 is 110% of 24. |
18 is 125% of what number? A) 0.144 B) 14.4 C) 22.5 D) (or about 694.4) |
Example | ||
Problem | Jeff has a coupon at the Guitar Store for 15% off any purchase of $100 or more. He wants to buy a used guitar that has a price tag of $220 on it. Jeff wonders how much money the coupon will take off of the $220 original price. | |
How much is 15% of $220? | Simplify the problems by eliminating extra words. | |
Percent: 15% Base: 220 Amount: n | Identify the percent, the base, and the amount. | |
15% · 220 = n | Write the percent equation. Percent · Base = Amount | |
0.15 · 220 = 33 | Convert 15% to 0.15, then multiply by 220. 15 % of $220 is $33. | |
Answer | The coupon will take $33 off the original price. |
What Is 20 Of 13
What Is 20 Of 15
Example | ||
Problem | Evelyn bought some books at the local bookstore. Her total bill was $31.50, which included 5% tax. How much did the books cost before tax? | |
What number + 5% of that number is $31.50? 105% of what number = 31.50? | In this problem, you know that the tax of 5% is added onto the cost of the books. So if the cost of the books is 100%, the cost plus tax is 105%. | |
Percent: 105% Base: n Amount: 31.50 | Identify the percent, the base, and the amount. | |
105% ·n = 31.50 | Write the percent equation. Percent · Base = Amount. | |
1.05 ·n = 31.50 | Convert 105% to a decimal. | |
n = 3.50 ÷ 1.05 = 30 | Divide to undo the multiplication of n times 1.05. | |
Answer | The books cost $30 before tax. |
Example | ||
Problem | Susana worked 20 hours at her job last week. This week, she worked 35 hours. In terms of a percent, how much more did she work this week than last week? | |
35 is what percent of 20? | Simplify the problem by eliminating extra words. | |
Percent: n Base: 20 Amount: 35 | Identify the percent, the base, and the amount. | |
n· 20 = 35 | Write the percent equation. Percent · Base = Amount. | |
n = 35 ÷ 20 | Divide to undo the multiplication of n times 20. | |
n = 1.75 = 175% | Convert 1.75 to a percent. | |
Answer | Since 35 is 175% of 20, Susana worked 75% more this week than she did last week. (You can think of this as “Susana worked 100% of the hours she worked last week, as well as 75% more.”) |