The question is an illustration of proportions.
n is m% of 100n/m
The m% of a number x is represented as:
[tex]\mathbf{m\%\ of\ x }[/tex]
Represent "of" as product (x)
[tex]\mathbf{m\% \times x }[/tex]
From the question, this expression equals n.
So, we have:
[tex]\mathbf{m\% \times x = n}[/tex]
Express percentage as /100
[tex]\mathbf{\frac{m}{100} \times x = n}[/tex]
Multiply both sides by 100
[tex]\mathbf{m \times x = 100n}[/tex]
Divide both sides by m
[tex]\mathbf{x = \frac{100n}m}[/tex]
Hence, n is m% of 100n/m
Read more about percentage and proportions at:
https://brainly.com/question/12662837
