Setting Up the Percentage Problem

Let the unknown number be represented by '$x$'. The problem states that 28% of this number is 75 less than 43% of the same number. We can write this relationship as an equation:

$0.28x = 0.43x - 75$

Solving for the Number

To find the value of '$x$', we first rearrange the equation to isolate the terms involving '$x$':

$75 = 0.43x - 0.28x$

Combine the '$x$' terms:

$75 = 0.15x$

Now, solve for '$x$' by dividing both sides by 0.15:

$x = \frac{75}{0.15}$

Calculate the value:

$x = \frac{75}{\frac{15}{100}} = 75 \times \frac{100}{15} = 5 \times 100 = 500$

So, the number is 500.

Calculating 30% of the Number

The question asks for 30% of this number (500). Calculate this as follows:

$30\% \text{ of } 500 = \frac{30}{100} \times 500$

Perform the calculation:

$\frac{30}{100} \times 500 = 30 \times 5 = 150$

Therefore, 30% of the number is 150.