Solution for 44 is what percent of 120:
44:120*100 =
(44*100):120 =
4400:120 = 36.67
Now we have: 44 is what percent of 120 = 36.67
Question: 44 is what percent of 120?
Percentage solution with steps:
Step 1: We make the assumption that 120 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\%}={120}.
Step 4: In the same vein, {x\%}={44}.
Step 5: This gives us a pair of simple equations:
{100\%}={120}(1).
{x\%}={44}(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{120}{44}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{44}{120}
\Rightarrow{x} = {36.67\%}
Therefore, {44} is {36.67\%} of {120}.
Solution for 120 is what percent of 44:
120:44*100 =
(120*100):44 =
12000:44 = 272.73
Now we have: 120 is what percent of 44 = 272.73
Question: 120 is what percent of 44?
Percentage solution with steps:
Step 1: We make the assumption that 44 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\%}={44}.
Step 4: In the same vein, {x\%}={120}.
Step 5: This gives us a pair of simple equations:
{100\%}={44}(1).
{x\%}={120}(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{44}{120}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{120}{44}
\Rightarrow{x} = {272.73\%}
Therefore, {120} is {272.73\%} of {44}.
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