
How do you find \[10\% \] of \[95\]?
Answer
493.2k+ views
Hint: We will first convert the percentage into a fraction and multiply it to the given number. We will simplify it further to get the required answer. The percentage is defined as a ratio representing a fraction of 100.
Formula Used:
\[x\] is the value for which the percentage is to be calculated is given by the formula \[x = \dfrac{P}{{100}} \times n\] where \[P\] is the percentage and \[n\] is the total value.
Complete Step by Step Solution:
We are given that \[10\% \] of \[95\].
Let \[x\] be the value for \[10\% \] of \[95\].
Now, we will find the value of the given Percentage, by using the percentage formula.
By substituting the values \[P = 10\% \] and \[n = 95\] in the formula \[P = \dfrac{x}{n} \times 100\], we get
\[ \Rightarrow x = \dfrac{{10}}{{100}} \times 95\]
Now, by dividing the terms, we get
\[ \Rightarrow x = \dfrac{{95}}{{10}}\]
\[ \Rightarrow x = 9.5\]
Therefore, the value for \[10\% \] of \[95\] is \[9.5\].
Additional information:
Here, \[10\% \] of 95 represents the fractional part of 95. Percentage and fractions are generally used for comparing different quantities. A fraction is defined as the number of equal parts or in other words parts of a whole quantity.
Note:
We know that percent represents the number percent or the number per hundred and is represented by the symbol \[\%\]. If we have to find the percent of a number then we divide the number by the total number and then multiply the result by 100. Percentages can be represented in the decimal form or in the fractional form. The percentage has no dimensions and its formula can be modified according to the value which has to be found out.
Formula Used:
\[x\] is the value for which the percentage is to be calculated is given by the formula \[x = \dfrac{P}{{100}} \times n\] where \[P\] is the percentage and \[n\] is the total value.
Complete Step by Step Solution:
We are given that \[10\% \] of \[95\].
Let \[x\] be the value for \[10\% \] of \[95\].
Now, we will find the value of the given Percentage, by using the percentage formula.
By substituting the values \[P = 10\% \] and \[n = 95\] in the formula \[P = \dfrac{x}{n} \times 100\], we get
\[ \Rightarrow x = \dfrac{{10}}{{100}} \times 95\]
Now, by dividing the terms, we get
\[ \Rightarrow x = \dfrac{{95}}{{10}}\]
\[ \Rightarrow x = 9.5\]
Therefore, the value for \[10\% \] of \[95\] is \[9.5\].
Additional information:
Here, \[10\% \] of 95 represents the fractional part of 95. Percentage and fractions are generally used for comparing different quantities. A fraction is defined as the number of equal parts or in other words parts of a whole quantity.
Note:
We know that percent represents the number percent or the number per hundred and is represented by the symbol \[\%\]. If we have to find the percent of a number then we divide the number by the total number and then multiply the result by 100. Percentages can be represented in the decimal form or in the fractional form. The percentage has no dimensions and its formula can be modified according to the value which has to be found out.
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