#### Solution for 13.25 is what percent of 47.75:

13.25:47.75*100 =

(13.25*100):47.75 =

1325:47.75 = 27.748691099476

Now we have: 13.25 is what percent of 47.75 = 27.748691099476

Question: 13.25 is what percent of 47.75?

Percentage solution with steps:

Step 1: We make the assumption that 47.75 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\%}={47.75}.

Step 4: In the same vein, {x\%}={13.25}.

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

{100\%}={47.75}(1).

{x\%}={13.25}(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{47.75}{13.25}

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

\frac{x\%}{100\%}=\frac{13.25}{47.75}

\Rightarrow{x} = {27.748691099476\%}

Therefore, {13.25} is {27.748691099476\%} of {47.75}.

#### Solution for 47.75 is what percent of 13.25:

47.75:13.25*100 =

(47.75*100):13.25 =

4775:13.25 = 360.37735849057

Now we have: 47.75 is what percent of 13.25 = 360.37735849057

Question: 47.75 is what percent of 13.25?

Percentage solution with steps:

Step 1: We make the assumption that 13.25 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\%}={13.25}.

Step 4: In the same vein, {x\%}={47.75}.

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

{100\%}={13.25}(1).

{x\%}={47.75}(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{13.25}{47.75}

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

\frac{x\%}{100\%}=\frac{47.75}{13.25}

\Rightarrow{x} = {360.37735849057\%}

Therefore, {47.75} is {360.37735849057\%} of {13.25}.

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