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### 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

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# Converting percents to decimals: 113.9%

Sal converts 113.9% to a decimal by demonstrating how to move the decimal point. Created by Sal Khan.

## Want to join the conversation?

- I still don't know how to find the percent when the second number is more than 100 hundred(31 votes)
- 960 is what percent of 6000

To find the percentage first calculate 960/6000 = 0.16

And then move the decimal place to the right two places

960/6000 = 0.16 = 16/100 = 16%

960 is what percent of 6

You do the same thing

960/6 = 160 Now move the decimal two places to the right

960/6 = 160 = 16000/100 = 16000%

I hope that helps(77 votes)

- Why do we shift the decimal to the left when dividing?(2 votes)
- Multiplication and division are inverse operations, meaning that the opposite (or inverse) of what happens when you multiply will happen when you divide. When we multiply with a decimal, it gets shifted to the right. When dividing, it gets shifted to the left.(3 votes)

- how can u turn a percent into a fraction(3 votes)
- Hi! here are some steps. Step 1: Write down the percent divided by 100 like this: percent 100.

Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction. Hope this helps.(0 votes)

- At1:04you drew a =D, which looks like a smiley face. What is it?(2 votes)
- Where are the other videos that explain this part more in depth0:50?(2 votes)
- My question is so different can you do one with $3.55 and 160% question?(1 vote)

- What would 4% and 5% turned into two fractions?(2 votes)
- It would be 4/100 and 5/100, but if you wanted to add them up you would get 9/100.(1 vote)

- so do you put a 0 at the begening of the whole number(2 votes)
- So basically you move the decimal twice if it's triple digit and once if it's double digit? Just making sure.

Ashley(1 vote)- No you move the two digit number over twice.(2 votes)

- What grade is this suppose to be on? .. Cause I'm in 7th and I think I'm falling behind!(2 votes)
- I'm in the Singaporean equivalent of 6th grade (Primary 6) and I've mastered Pre-algebra. However, I am at the top of my class for math, so I'd say that Pre-algebra (the topic) includes skills scholastically taught at 8th or 9th grade. Keep up the good work, though!(1 vote)

- How do you find percent's of decimals(1 vote)
- To convert a percentage into a decimal move the decimal point two places to the right twice so that the HUNDREDth place now becomes the ONEs place. Add a PERCENT SYMBOL at the end.

1 becomes 100%

5 becomes 500%

2500 becomes 25000%

.25 becomes 25%

.001 becomes .1% ( or more commonly referred to 1/10 of 1% )(2 votes)

## Video transcript

Let's write 113.9% as a decimal. So percent, this
symbol right over here, literally means per hundred. So this is the same
thing as 113.9 per 100, which is the same thing
as 113.9 divided by 100. So essentially, if we want
to write this as a decimal, we just take a 113.9,
and we divide it by 100. And to do that,
113.9 divided by 100. If you divide by 10, you move
the decimal once to the left. If you divide by 100, you're
moving the decimal twice to the left. If we're doing it by 1,000, we
would go to the left once more. 10,000, each time
you divide by 10, you'd go one step to the left,
which hopefully makes sense. If we were to multiply by 10,
we would be moving the decimal over to the right, and
there are other videos that go into far more depth
on the intuition behind that. But anyway, we're
dividing 113.9 by 100, so move the decimal
two spaces to the left. So the decimal will
end up right over here. So this will be equal to 1.139. And we are done.