Question

How do you find 44 out of 50 as a percentage without a calculator?

Answer 1

Hint: We first change the given statement into fraction to get the ratio form. Then from the ratio we find the percentage by multiplying 100. Now to do it without calculation we just need to find the equivalent number of 44 out of 100 instead of 50. We multiply 2 with 44 to get the solution.

Complete step by step solution:
For the given statement 44 out of 50, we need to find the ratio of the numbers 44 and 50.
The ratio is used to find the unitary value of a particular number with respect to the other number.
Therefore, for the ratio of any two numbers $x$ and $y$, we can express it as $\dfrac{x}{y}$. Ratios work like fractions. The numbers become the numerator and denominator of the ratio.
For the fraction $\dfrac{x}{y}$, we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $\dfrac{{}^{x}/{}_{d}}{{}^{y}/{}_{d}}$.

For 44 out of 50 the ratio will be $\dfrac{44}{50}=\dfrac{22}{25}$. We now try to find the percentage value of the fraction. We multiply the fraction with 100.
Therefore, \[\dfrac{22}{25}\times 100=88\].
Now to complete it without multiplication and its calculation we just need to find the equivalent number of 44 out of 100 instead of 50. For that we multiply 2 with 44.
The solution is $44\times 2=88$.

Note: The value of the fraction is actually the unitary value of 4 out of 100. Therefore, in percentage value we got 4 as the percentage. Percentage deals with the ratio out of 100. We know 44 out of 50 changes to 88 out of 100. Both of them have similar ratios.