#### Solution for 52 is what percent of 110:

52:110*100 =

(52*100):110 =

5200:110 = 47.27

Now we have: 52 is what percent of 110 = 47.27

Question: 52 is what percent of 110?

Percentage solution with steps:

Step 1: We make the assumption that 110 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\%}={110}.

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

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

{100\%}={110}(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{110}{52}

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

\frac{x\%}{100\%}=\frac{52}{110}

\Rightarrow{x} = {47.27\%}

Therefore, {52} is {47.27\%} of {110}.

#### Solution for 110 is what percent of 52:

110:52*100 =

(110*100):52 =

11000:52 = 211.54

Now we have: 110 is what percent of 52 = 211.54

Question: 110 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\%}={110}.

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

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

{x\%}={110}(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}{110}

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

\frac{x\%}{100\%}=\frac{110}{52}

\Rightarrow{x} = {211.54\%}

Therefore, {110} is {211.54\%} of {52}.

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