#### Solution for 506 is what percent of 630:

506:630*100 =

(506*100):630 =

50600:630 = 80.32

Now we have: 506 is what percent of 630 = 80.32

Question: 506 is what percent of 630?

Percentage solution with steps:

Step 1: We make the assumption that 630 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\%}={630}.

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

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

{100\%}={630}(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{630}{506}

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

\frac{x\%}{100\%}=\frac{506}{630}

\Rightarrow{x} = {80.32\%}

Therefore, {506} is {80.32\%} of {630}.

#### Solution for 630 is what percent of 506:

630:506*100 =

(630*100):506 =

63000:506 = 124.51

Now we have: 630 is what percent of 506 = 124.51

Question: 630 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\%}={630}.

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

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

{x\%}={630}(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}{630}

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

\frac{x\%}{100\%}=\frac{630}{506}

\Rightarrow{x} = {124.51\%}

Therefore, {630} is {124.51\%} of {506}.

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