1.
satish scored 910 out of 1000 and John scared 990 but
of 1100. Who scored better?
Answers
990:1100*100 =
(990*100):1100 =
99000:1100 = 90
Now we have: 990 is what percent of 1100 = 90
Question: 990 is what percent of 1100?
Percentage solution with steps:
Step 1: We make the assumption that 1100 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=1100$100%=1100.
Step 4: In the same vein, $x\%=990$x%=990.
Step 5: This gives us a pair of simple equations:
$100\%=1100(1)$100%=1100(1).
$x\%=990(2)$x%=990(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
$\frac{100\%}{x\%}=\frac{1100}{990}$
100%
x%=
1100
990
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{990}{1100}$
x%
100%=
990
1100
$\Rightarrow x=90\%$⇒x=90%
Therefore, $990$990 is $90\%$90% of $1100$1100.
Answer:
Solution for 990 is what percent of 1100:
990:1100*100 =
(990*100):1100 =
99000:1100 = 90
Now we have: 990 is what percent of 1100 = 90
Question: 990 is what percent of 1100?
Percentage solution with steps:
Step 1: We make the assumption that 1100 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 $100\%=1100$.
Step 4: In the same vein, $x\%=990$.
Step 5: This gives us a pair of simple equations:
$100\%=1100(1)$.
$x\%=990(2)$.
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
$\frac{100\%}{x\%}=\frac{1100}{990}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{990}{1100}$
$\Rightarrow x=90\%$
Therefore, $990$ is $90\%$ of $1100$.