What per cent of
(a) 64 is 148.48?
(b) 75 is 1225?
Answers
Step-by-step explanation:
Question: 64 is what percent of 148.48?
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:
a) 232%
b) 1633.3%
Step-by-step explanation:
Hope it helps!
