450 is 75% of what number
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]