#### Solution for 506 is what percent of 508:

506:508*100 =

(506*100):508 =

50600:508 = 99.61

Now we have: 506 is what percent of 508 = 99.61

Question: 506 is what percent of 508?

Percentage solution with steps:

Step 1: We make the assumption that 508 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\%}={508}.

Step 4: In the same vein, {x\%}={506}.

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

{100\%}={508}(1).

{x\%}={506}(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{508}{506}

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

\frac{x\%}{100\%}=\frac{506}{508}

\Rightarrow{x} = {99.61\%}

Therefore, {506} is {99.61\%} of {508}.

#### Solution for 508 is what percent of 506:

508:506*100 =

(508*100):506 =

50800:506 = 100.4

Now we have: 508 is what percent of 506 = 100.4

Question: 508 is what percent of 506?

Percentage solution with steps:

Step 1: We make the assumption that 506 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\%}={506}.

Step 4: In the same vein, {x\%}={508}.

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

{100\%}={506}(1).

{x\%}={508}(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{506}{508}

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

\frac{x\%}{100\%}=\frac{508}{506}

\Rightarrow{x} = {100.4\%}

Therefore, {508} is {100.4\%} of {506}.

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