#### Solution for 491 is what percent of 415:

491:415*100 =

(491*100):415 =

49100:415 = 118.31

Now we have: 491 is what percent of 415 = 118.31

Question: 491 is what percent of 415?

Percentage solution with steps:

Step 1: We make the assumption that 415 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\%}={415}.

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

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

{100\%}={415}(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{415}{491}

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

\frac{x\%}{100\%}=\frac{491}{415}

\Rightarrow{x} = {118.31\%}

Therefore, {491} is {118.31\%} of {415}.

#### Solution for 415 is what percent of 491:

415:491*100 =

(415*100):491 =

41500:491 = 84.52

Now we have: 415 is what percent of 491 = 84.52

Question: 415 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\%}={415}.

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

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

{x\%}={415}(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}{415}

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

\frac{x\%}{100\%}=\frac{415}{491}

\Rightarrow{x} = {84.52\%}

Therefore, {415} is {84.52\%} of {491}.

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