#### Solution for 63 is what percent of 65:

63:65*100 =

(63*100):65 =

6300:65 = 96.92

Now we have: 63 is what percent of 65 = 96.92

Question: 63 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 65 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\%}={65}.

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

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

{100\%}={65}(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{65}{63}

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

\frac{x\%}{100\%}=\frac{63}{65}

\Rightarrow{x} = {96.92\%}

Therefore, {63} is {96.92\%} of {65}.

#### Solution for 65 is what percent of 63:

65:63*100 =

(65*100):63 =

6500:63 = 103.17

Now we have: 65 is what percent of 63 = 103.17

Question: 65 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\%}={65}.

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

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

{x\%}={65}(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}{65}

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

\frac{x\%}{100\%}=\frac{65}{63}

\Rightarrow{x} = {103.17\%}

Therefore, {65} is {103.17\%} of {63}.

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