#### Solution for 48 is what percent of 52.75:

48:52.75*100 =

(48*100):52.75 =

4800:52.75 = 90.995260663507

Now we have: 48 is what percent of 52.75 = 90.995260663507

Question: 48 is what percent of 52.75?

Percentage solution with steps:

Step 1: We make the assumption that 52.75 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\%}={52.75}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={52.75}(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{52.75}{48}

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

\frac{x\%}{100\%}=\frac{48}{52.75}

\Rightarrow{x} = {90.995260663507\%}

Therefore, {48} is {90.995260663507\%} of {52.75}.

#### Solution for 52.75 is what percent of 48:

52.75:48*100 =

(52.75*100):48 =

5275:48 = 109.89583333333

Now we have: 52.75 is what percent of 48 = 109.89583333333

Question: 52.75 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\%}={52.75}.

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

{100\%}={48}(1).

{x\%}={52.75}(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}{52.75}

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

\frac{x\%}{100\%}=\frac{52.75}{48}

\Rightarrow{x} = {109.89583333333\%}

Therefore, {52.75} is {109.89583333333\%} of {48}.

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