Main content
MAP Recommended Practice
Course: MAP Recommended Practice > Unit 17
Lesson 7: Percent, decimal, fraction conversions- Converting percents to decimals & fractions example
- Converting between percents, fractions, & decimals
- Convert percents to fractions
- Convert fractions to percents
- Converting decimals to percents: 0.601
- Converting decimals to percents: 1.501
- Convert decimals to percents
- Converting percents to decimals: 59.2%
- Converting percents to decimals: 113.9%
- Convert percents to decimals
- Converting percents and fractions review
- Converting decimals and percents review
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice
Converting decimals to percents: 0.601
Percents can be written in decimal form. Per-cent means per-100. So, we divide the percent by 100 to get an equivalent decimal. Then, we remove the percent sign (%). For example, 65% can be converted to decimal form by solving 65÷100. So, 65%=0.65. Another way to think of dividing by 100 is moving the decimal two places to the left. Created by Sal Khan.
Want to join the conversation?
- Can the percentage be more than 100 or can it not be more than 100?(156 votes)
- Percentages can increase above 100. 100 is one whole. A percent such as 200% can represent two wholes.(35 votes)
- so percents can easily be divided using fractions(30 votes)
- Well, yes. If you divide a percentage by another percentage, the percentages cancel out. So, for example,
37% / 10%
is identical to37 / 10
.(7 votes)
- Can you have a percent with a repeating decimal?
For example,
56.333333333333...3% - is this possible in math?(16 votes)- Yes, that is 56 1/3, or you can use the bar notation 56.3 with a line on top of the 3 in the tenth place.(3 votes)
- how to change 1.074 to percent(11 votes)
- 1.074 is just 1 whole plus 74 thousandths. 1 whole would be 100% and 70 thousandths would be just 7 hundredths which is 7%. 4 thousandths is just 0.4%. So 1.074 to a percentage is 107.4% Hope this helps.(0 votes)
- All you do is just move the decimal point 2 spaces to the right to make a percent.(14 votes)
- are u suppose to convert the decimal to a real number?(2 votes)
- A decimal is already a real number. Do you mean whole number or integer? The answer is it depends on where you start. If you have .601 and move decimal two places to right (or multiply by 100) you get 60.1 % which is not a whole number.(2 votes)
- Why is this so easy?(2 votes)
- Can perencts easily be divided by using fractions?(2 votes)
- wow this is so much easier the way i was taught when i was in private school was a lot harder(2 votes)
- Can a percent be 0 or 1,000(1 vote)
- Yes, you can have 0% and 1000%.(3 votes)
Video transcript
Percent 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.