#### Solution for 27 is what percent of 65:

27: 65*100 =

(27*100): 65 =

2700: 65 = 41.54

Now we have: 27 is what percent of 65 = 41.54

Question: 27 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\%}={27}.

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

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

{x\%}={27}(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}{27}

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

\frac{x\%}{100\%}=\frac{27}{ 65}

\Rightarrow{x} = {41.54\%}

Therefore, {27} is {41.54\%} of { 65}.

#### Solution for 65 is what percent of 27:

65:27*100 =

( 65*100):27 =

6500:27 = 240.74

Now we have: 65 is what percent of 27 = 240.74

Question: 65 is what percent of 27?

Percentage solution with steps:

Step 1: We make the assumption that 27 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\%}={27}.

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

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

{100\%}={27}(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{27}{ 65}

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

\frac{x\%}{100\%}=\frac{ 65}{27}

\Rightarrow{x} = {240.74\%}

Therefore, { 65} is {240.74\%} of {27}.

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