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Solution for 55 is what percent of 491:

55:491*100 =

(55*100):491 =

5500:491 = 11.2

Now we have: 55 is what percent of 491 = 11.2

Question: 55 is what percent of 491?

Percentage solution with steps:

Step 1: We make the assumption that 491 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\%}={491}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={491}(1).

{x\%}={55}(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{491}{55}

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

\frac{x\%}{100\%}=\frac{55}{491}

\Rightarrow{x} = {11.2\%}

Therefore, {55} is {11.2\%} of {491}.

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Solution for 491 is what percent of 55:

491:55*100 =

(491*100):55 =

49100:55 = 892.73

Now we have: 491 is what percent of 55 = 892.73

Question: 491 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={491}.

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

{100\%}={55}(1).

{x\%}={491}(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{55}{491}

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

\frac{x\%}{100\%}=\frac{491}{55}

\Rightarrow{x} = {892.73\%}

Therefore, {491} is {892.73\%} of {55}.