Question

What per cent of
(a) 64 is 148.48?
(b) 75 is 1225?

Answer 1

Answer:

Percentage solution with steps:

Step 1: We make the assumption that 148.48 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=148.48$.

Step 4: In the same vein, $x\%=64$.

Step 5: This gives us a pair of simple equations:

$100\%=148.48(1)$.

$x\%=64(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{148.48}{64}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{64}{148.48}$

$\Right Arrow x=43.103448275862\%$

Therefore, $64$ is $43.103448275862\%$ of $148.48$.

Question : 75 is 1225?

75 of 1225 can be written as:

75

1225

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

75

1225

×

100

100

= (

75 × 100

1225

) ×

1

100

=

6.12

100

Therefore, the answer is 6.12%

Answer 2

Step-by-step explanation:

• 64÷148.48×100= 43 percent.
• 75 ÷1225×100=6.1 percent