In this lesson, you
that a percent that is less than 1%
or greater than 100%
can be expressed as a decimal or as a fraction.
Because "percent" means "out of, or per 100", a percent which
is less than 1% is a quantity which is less than 1 out of
A percent that is greater than 100% is a
quantity which is greater than 100 out of 100 or,
in other words greater than 1.
To write these percents as decimals all that we need to do
is move the decimal point 2 places to the left.
Let's look at a percent which is less than 1....
Write 0.5% as a decimal and as a fraction:
0.5% = 0.005
Again, since percent means per 100, you can change a percent
to a fraction by simply putting the percent over 100:
0.5% = .5/100
Remember, we cannot leave a decimal in the numerator so we
must rewrite it as a whole number. To do that simply
move the decimal as many places to the right as required to
make it a whole number, then add as many zeros, as places
moved, to 100 in the denominator
.5/100 = 5/1000 (add 1 zero to 100) The final step is to reduce the fraction to lowest
terms: 5/1000 = 1/200
Another Example ....
Now let's look at a percent which is greater than 100...
Write 130% first as a decimal..
130% = 1.30 or 1.3
If we change it to a fraction it becomes 1 3/10
Since the fraction 3/10 cannot be reduced our final answer
is 1 3/10
Now let's try some problems using percents which are less
than 1% or greater than 100%.
look at another....
Mr. Smith's salary has increased by 350% over the past 20
years. If his original salary was $22,000 per year,
what is his current salary?
First change 350% to a decimal:
350% = 3.5
Next, multiply the original salary by the decimal number:
(22000) x (3.5) =
After 20 years Mr. Smith's salary has increased from $22,000
to $77,000 per year.
In a survey of 5000 people only .3% of them said that all of
their wishes had come true. How many people in this
sample does that represent?
First change the percent to a decimal:
.3% = .003
Then multiply the number of people by the decimal:
(5000) x (.003) =
Only 15 of the 5000 people surveyed had had all of their
wishes come true.