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### Course: Class 6 > Unit 12

Lesson 2: Percentage conversions# 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 to`37 / 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(10 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.(13 votes)
- how to calculate 2/3% of 741(3 votes)
- You do 741 divided by 100 than divide that by 3 and multiply that by 2(1 vote)

- Hello! I have a question. I am in Pre-AP (advanced) math for 6th graders and we are learning to divide and multiply percents. Do you go over that? I have been watching your little snip-it videos and cannot seem to find it.(2 votes)
- Can you please redo this video so that the mistake the speaker makes isn't there anymore? I see that text pops up explaining that he made a mistake, but nonetheless, considering many students in the public school system don't speak English as their primary or first language, something like what happened in this video can and will cause confusion.

I was actually going to add it to a Math Help Guide that I have created on Google Docs, but I'm not using this one solely because of the math mistake that the speaker makes.

You all make really great videos and work here for kids to learn math. Thank you for all that you do!(2 votes) - how do i find 15 percent? i am not good at percentages :I(3 votes)
- Multiply the number you want to find 15% by 0.15

15% of x = 0.15(x)(0 votes)

- Can the percentage be bellow 100 or over 100 or does it have to be exactly 100?(1 vote)
- Yes, it can be over 100 to represent one or more whole's.(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.