#### Solution for 491.5 is what percent of 500:

491.5:500*100 =

(491.5*100):500 =

49150:500 = 98.3

Now we have: 491.5 is what percent of 500 = 98.3

Question: 491.5 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={491.5}.

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

{100\%}={500}(1).

{x\%}={491.5}(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{500}{491.5}

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

\frac{x\%}{100\%}=\frac{491.5}{500}

\Rightarrow{x} = {98.3\%}

Therefore, {491.5} is {98.3\%} of {500}.

#### Solution for 500 is what percent of 491.5:

500:491.5*100 =

(500*100):491.5 =

50000:491.5 = 101.72939979654

Now we have: 500 is what percent of 491.5 = 101.72939979654

Question: 500 is what percent of 491.5?

Percentage solution with steps:

Step 1: We make the assumption that 491.5 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\%}={491.5}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={491.5}(1).

{x\%}={500}(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{491.5}{500}

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

\frac{x\%}{100\%}=\frac{500}{491.5}

\Rightarrow{x} = {101.72939979654\%}

Therefore, {500} is {101.72939979654\%} of {491.5}.

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