Question

Anthony found a number that is 20% of 30% of 400 what percent of 45 is the number that Anthony found

Answer 1

For this case we have:

1st step:

We look for 30% of 400 by a rule of three of the form:

400 -------> 100%

x -----------> 30%

Where x is given by the number that represents 30% of 400.

We have:

$x =\frac{(30 * 400)}{100}\\x = 120$

2nd step:

We search for 20% of the number found, that is, $x = 120$, using a rule of three:

120 -------> 100%

y -----------> 20%

Where y is given by the number that represents 20% of 120.

We have:

$y =\frac{(20 * 120)}{100}\\y = 24$

So, the number that Anthony found is 24.

3rd step:

According to the statement, we must find the% that represents the number of Anthony, based on the number 45. Through a rule of three we have:

45 -------> 100%

24 -----------> z%

Where z is given by the% that represents Anthony's number, knowing that 45 represents 100%.

We have:

$z =\frac{(24 * 100)}{45}\\z = 53.33$%

Answer:

The number of Anthony represents 53.33% of 45.