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Let’s check out your problem:
If
15
%
15\%
15%
of a number is
27
27
27
\newline
Identify that number.
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Math Problems
Grade 6
Find the total given a part and a percent
Full solution
Q.
If
15
%
15\%
15%
of a number is
27
27
27
\newline
Identify that number.
Set Up Equation:
To find the number of which
27
27
27
is
15
%
15\%
15%
, we need to set up the equation
15
%
15\%
15%
of
X
=
27
X = 27
X
=
27
, where
X
X
X
is the number we are trying to find.
Convert to Decimal:
Convert the percentage to a decimal to make the calculation easier.
15
%
15\%
15%
as a decimal is
0.15
0.15
0.15
.
Rewrite Equation:
Now we can rewrite the equation as
0.15
×
X
=
27
0.15 \times X = 27
0.15
×
X
=
27
.
Solve for X:
To solve for X, we need to divide both sides of the equation by
0.15
0.15
0.15
. So,
X
=
27
0.15
X = \frac{27}{0.15}
X
=
0.15
27
.
Perform Division:
Perform the division to find the value of
X
X
X
.
X
=
27
0.15
=
180
X = \frac{27}{0.15} = 180
X
=
0.15
27
=
180
.
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