#### Solution for 48 is what percent of 65:

48: 65*100 =

(48*100): 65 =

4800: 65 = 73.85

Now we have: 48 is what percent of 65 = 73.85

Question: 48 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\%}={48}.

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

{100\%}={ 65}(1).

{x\%}={48}(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}{48}

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

\frac{x\%}{100\%}=\frac{48}{ 65}

\Rightarrow{x} = {73.85\%}

Therefore, {48} is {73.85\%} of { 65}.

#### Solution for 65 is what percent of 48:

65:48*100 =

( 65*100):48 =

6500:48 = 135.42

Now we have: 65 is what percent of 48 = 135.42

Question: 65 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

Step 4: In the same vein, {x\%}={ 65}.

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

{100\%}={48}(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{48}{ 65}

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

\frac{x\%}{100\%}=\frac{ 65}{48}

\Rightarrow{x} = {135.42\%}

Therefore, { 65} is {135.42\%} of {48}.

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