Answer:
85%
Step-by-step explanation:
Method 1: Set up a proportion
Set up an equation of the form:
part
whole
=
whole
part
=
percent
100
100
percent
Assign the variable
x
x to the unknown value:
x
=
x=
percent
percent
The question asks what
percent
percent of all the students is 323
Substitute the known values with the numbers given in the problem, and the unknown value with
x
x:
323
380
=
380
323
=
x
100
100
x
Solve for
x
x:
100
⋅
323
=
100⋅323=
380
⋅
x
380⋅x
Cross multiply
32300
380
=
380
32300
=
380
x
380
380
380x
Divide both sides by 20
85
%
=
85%=
x
x
Simplify
Method 2: Convert to decimal and multiply
Find
323
out of
380
as a decimal:
Find 323 out of 380 as a decimal:
323
380
=
380
323
=
0.85
0.85
Convert decimal to percent:
Convert decimal to percent:
0.85
×
100
=
0.85×100=
85
%
85%
Move decimal 2 places to the right
number
percent
323
85%
380
100%
