The number for which
of the number is equals to
is
.
Further explanation:
The objective is to obtain the number for which the
of the number is
.
The term percent means
out of
. Similarly,
percent means
out of
.
The percentage is a number which represents the number of parts out of
parts or it represents the ratio expressed as a fraction of
.
For example: Consider a number as
and divide
into
equal parts. Each divided part is of value
this means that each part is
of the original number because the original number is divided into
equal parts.
Consider the number required as
.
It is given that
of the number
is equals to
.
As per the above statement the equation formed is as follows:
Solve the above equation as follows:
![\begin{aligned}\dfrac{23}{100}\times x&=4.25\\x&=\dfrac{4.25\times 100}{23}\\ x&=18.47826\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cdfrac%7B23%7D%7B100%7D%5Ctimes%20x%26%3D4.25%5C%5Cx%26%3D%5Cdfrac%7B4.25%5Ctimes%20100%7D%7B23%7D%5C%5C%20x%26%3D18.47826%5Cend%7Baligned%7D)
Therefore, the value of
is
.
The approximated value of
up to
decimal places is
.
Therefore, the value of the required number is
.
Verification:
To verify the answer calculate the
of the number
.
Solve the above expression as follows:
![\begin{aligned}\dfrac{23\times 18.48}{100}&=\dfrac{4.2504}{100}\\&=4.2504\\&=4.25\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cdfrac%7B23%5Ctimes%2018.48%7D%7B100%7D%26%3D%5Cdfrac%7B4.2504%7D%7B100%7D%5C%5C%26%3D4.2504%5C%5C%26%3D4.25%5Cend%7Baligned%7D)
Therefore, the
of the number
is
.
Thus, the number for which
of the number is equals to
is
.
Learn more:
1. A problem on greatest integer function brainly.com/question/8243712
2. A problem on calculus brainly.com/question/1557905
3. A problem to determine intercepts of a line brainly.com/question/1332667
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Percentages
Keywords: Percentages, fraction, simplification, evaluate, 23 percent, 4.25, 18.48, ratio, proportion, approximate, per cent, number, 100 parts, 23%.