Converting Ratios to PercentagesDate: 08/03/2003 at 18:00:45 From: Dee Subject: Converting ratios into percentages How do I convert 1:200 to a percentage? Date: 08/03/2003 at 23:01:12 From: Doctor Ian Subject: Re: Converting ratios into percentages Hi Dee, Suppose the ratio of farmers to cows is 1 to 200. That means that for every farmer, there are 200 cows. In any group of farmers and cows, the fraction of farmers would be farmers 1 1 -------------- = ------- = --- farmers + cows 1 + 200 201 So how can we convert that to a percentage? What we want to do is solve this proportion: 1 ? --- = --- 201 100 (It's important to understand that something like '12 percent' is just another way to express a fraction like 12/100, which has a denominator of 100. So 1% = 1/100 38% = 38/100 26.44512% = 26.44512 / 100 and so on.) If we multiply both sides by 100, we get 100 --- = ? 201 If we divide 100 by 201 (using a calculator), we get 0.4975, which is about 0.5, so the farmers make up 1/2 percent of the membership of the group. Does this make sense? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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