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# Basic Math/Percentages

Question
Hi John,

What percentage is 1 man in 20 men?  How many men in 1 hundred men would 1 man in 20 men be?

Sincerely,
Angel

Hello, Angel.

To convert a fraction into a percentage, first divide the denominator of the fraction into the numerator. In this case, you'd divide 20 into 1. 20 divided into 1 equals .05. Next, to convert this decimal into a percentage, simply move the decimal point two places to the right. So, .05 becomes 5%.

Since percent means "out of 100" then we know that this means that 5% means "5 out of 100." However, if you didn't know what percent means, you can answer this by asking how many times greater than 20 100 is. 100 is 5 times greater than 100 (20 x 5 = 100), and so, if 1 out of 20 persons makes for 5%, then 5 out of 100 persons would also equal 5%.

You can check this by seeing if the fractions 5/100 and 1/20 are equal. 5/100 does simplify to 1/20, and so this checks out.

I hope this helps.

Regards,
John
Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Thanks, John!! Sincerely, Angel

Basic Math

Volunteer

#### John Zalewski

##### Expertise

I can help you solve problems involving fractions, decimals, ratios, and algebra. I can teach you how to do math faster, and even in your head. I can teach math definitions, and help you study, if necessary. Please do not ask any graphing, trigonometry, or calculus questions. Try to work through homework questions before asking for assistance.

##### Experience

I routinely process numbers of all kinds in my head, without need of a calculator.

Education/Credentials
I was an A math student while in high school.