#### Solution for 52 is what percent of 63:

52:63*100 =

(52*100):63 =

5200:63 = 82.54

Now we have: 52 is what percent of 63 = 82.54

Question: 52 is what percent of 63?

Percentage solution with steps:

Step 1: We make the assumption that 63 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\%}={63}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={63}(1).

{x\%}={52}(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{63}{52}

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

\frac{x\%}{100\%}=\frac{52}{63}

\Rightarrow{x} = {82.54\%}

Therefore, {52} is {82.54\%} of {63}.

#### Solution for 63 is what percent of 52:

63:52*100 =

(63*100):52 =

6300:52 = 121.15

Now we have: 63 is what percent of 52 = 121.15

Question: 63 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={63}.

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

{100\%}={52}(1).

{x\%}={63}(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{52}{63}

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

\frac{x\%}{100\%}=\frac{63}{52}

\Rightarrow{x} = {121.15\%}

Therefore, {63} is {121.15\%} of {52}.

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