Question

What percent of \[1\] day is \[1\] minute?

Answer 1

Hint: Here we are asked to find what percentage one day is one minute. First, we will convert one day into minutes. After finding that we will assume a variable for the required percentage then, by using the percentage formula we will find the value of the unknown variable that is the required percentage.
Formula: Formulas that we need to know before solving this problem:
Conversion of day to minutes:
\[1\] day \[ = \] \[24\] hours
\[1\] hour \[ = \] \[60\] minutes
Percentage:
\[X\] percentage of \[Y\] can be written as \[\dfrac{X}{{100}} \times Y\]

Complete step-by-step solution:
We aim to find what percentage of one day is one minute.
For that, we first need a day in terms of minutes. We know that one day equals twenty-four hours, using this we will convert the day in terms of minutes.
\[1\] day \[ = \] \[24\] hours
To convert a day in terms of minutes we need to convert the hours to minutes.
We know that one hour equals 60 minutes thus, twenty-four hours equals twenty-four into sixty minutes. That is \[24\] hours \[ = 24 \times 60\] minutes. Which implies \[24\] hours \[ = 1440\] minutes.
Substituting this in the expression \[1\] day \[ = \] \[24\] hours we get
\[1\] day \[ = 1440\] minutes
Thus, we have converted a day to minutes that is one day equals thousand four hundred and forty minutes.
Here we aim to find what percentage one day is one minute by using the percentage formula (\[X\] percentage of \[Y\] can be written as \[\dfrac{X}{{100}} \times Y\]) and assuming the required percentage be \[X\] we get
\[\dfrac{X}{{100}} \times 1440\] minutes (i.e., one day) \[ = 1\] minute
On simplifying the above, we get
\[X = \dfrac{{1 \times 100}}{{1440}}\]
On further simplification, we get
\[X = \dfrac{{10}}{{144}}\]
\[X = 0.069\]
Thus, we have found the value of \[X\] percentage as \[0.069\]
Therefore, one minute is \[0.069\% \] of one day.

Note: We cannot find the percent of different units thus we have converted the day to minutes since the answer was in minutes. Also, we have rounded off the final value we got from dividing ten by hundred and forty-four to three decimal places or we can also write it as a proper fraction as it is.