Let's start with some definitions. Show
Hindu–Arabic numeral system (or Indo-Arabic numeral system) is the decimal positional system, nowadays the most commonly used numeral system in the world. Other systems include the binary and hexadecimal systems. You can convert between those systems using tools like our binary converter. Let's explain what it means. "Decimal" means the system is based on 10. "Positional notation" means we assign a different value to a symbol depending on its position. For example, digit "3" in "13" equals 3, but in "342," it equals 300. The system is much more practical than alternatives like representing numbers with lines (that's what some ancients would do). So instead of having "|||||||||||||||" you just write "15". This way, using ten symbols (0-9), we can represent any rational number. If we were to write a general formula for a 4-digit number, it could look like this:
The symbol "a" here represents a digit from 0 to 9. The index next to "a" denotes the digit's place (we count from 0, from right to left). To get the number (right side of the equation), we multiply each digit by the powers of ten (1, 10, 100, ...). The indexes tell us how many zeros the powers of ten have to have. If a digit is on the "zeroth" place, we multiply by 1, on the first - by 10, on the second - 100, on the third - 1000, and so on. We call places in the number after the powers of ten - the one's place, the ten's place, the hundred's place, and so on. Take a look at examples:
Now, What if you want to write down a decimal fraction? The answer to the problem is using a decimal point - a dot (or a comma) - to separate whole numbers from fractions.
To the left from dot we multiply by ten, to the right - we divide by ten. Examples:
Percent, decimal, fraction conversionsCurrent time:0:00Total duration:2:36 Percent, decimal, fraction conversionsVideo transcriptPercent literally means per 100. That's where the word comes from. Cent from cents or century or any of those words means 100. So if someone tells you 7 per cent-- and I'm separating the word so it makes a little more sense-- they're really saying 7 per 100. This is the same thing as 7 per 100, which is the same thing as a fraction as 7 per 7 per 100. With that out of the way, let's see if we can write 0.601 as a percentage. Well, we essentially want to write it as something over 100. So you could view it as-- I'll just rewrite this part right over here. You could write it as 0.601 over 1. This is obviously the same quantity. If you divide anything by 1, you're still going to get that same anything. And I'm going to multiply it by 100 over 100. Obviously, this won't change the value. This is just 1 here. But what this does is it'll give us a fraction in term with the denominator being 100. So the denominator, if I multiply these two characters right over here in the denominator, the denominator of our product is going to be 100. If I multiply 0.0601 times 100, what am I going to get? Well, every time I multiply it by a multiple of 10 or every time I multiply it by 10, I'm going to shift the decimal over to the right once. So if I multiply it by 10, I'd get 6.01. And if I multiply it by a 10 again or if I multiply it by 100, I'm going to get 60.1. So 0.601 times 100 is 60.1. Let me rewrite that again. If I were to write 0.601, and I want to multiply it by 100, shift the decimal once, I multiply it by 10. If I multiply it by 10 again, or essentially multiply it by 100, I get 60.1. So this is times 10. This is times 10 again. I've essentially multiplied it by 100. But now we have it in the form we like. We have 60.1 over 100. Or you could rewrite this. This is the same thing as 60.1 per 100, which is the same thing as 60.1 percent. And we'd obviously want to write it then as 60.1 percent, as one word, or 60.1, and we'll just use the symbol-- 60.1%. We are done. Multiply the Decimal Number by 100% This is safe to do because 100% = 1, and multiplying by 1 does not change the value. Example: Convert 0.125 to percentMultiply 0.125 by 100%: 0.125 × 100% = 12.5% Don't forget the % sign! Answer 0.125 = 12.5% The easy way to multiply by 100 is to move the decimal point 2 places to the right:
More Examples: Example: Convert 0.35 to percentMove the decimal point two places to the right: 0.35 → 3.5 → 35% Answer 0.35 = 35% Example: Convert 0.985 to percentMove the decimal point two places to the right: 0.985 → 9.85 → 98.5% Answer 0.985 = 98.5% You may also need to add zeros on the right to move the decimal point: Example: Convert 1.2 to percentMove the decimal point two places to the right: 1.2 → 12. → 120.% Answer 1.2 = 120% Why
So 0.5 (a decimal number) = 50% (a percentage) The "%" tells you that there is a hidden "/100" there.
So 0.25 (a decimal number) = 25% (a percentage) 1364,897,1321,898,1322,1365,1366,3492,3493,3494 What is 2% as a decimal?Percent to decimal conversion table. What is the decimal for 15%?Convert from percent to decimal:
To change a percent to a decimal we divide by 100. This is the same as moving the decimal point two places to the left. For example, 15% is equivalent to the decimal 0.15.
How do you find the decimal?The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
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How to find the decimal of a percent
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