Verified Answer :

ogpits

75% = 0.75

450 ÷ 0.75 = 600

450 is 75% 0f 600

Answer:

Let the number be x.

Then, the statement become :450 is 75% of x

to solve for x;

75% of x can be written as \(\frac{75}{100} \times x\)

Then,

from the given condition we have;

\(\frac{75}{100} \times x =450\)

or

\(\frac{3}{4}x =450\)

Multiply both sides by \(\frac{4}{3}\) in above equation;

\(\frac{3}{4}x \times \frac{4}{3} =450 \times \frac{4}{3}\)

or

\(x= \frac{450 \times 4}{3}= 150 \times 4\) = 600

Then, the number x is 600

Therefore,  450 is 75% of 600.

Check:

450 = \(\frac{75}{100} \times 600\)

450 = \(75 \times 6\)

450=450    [True]