#### Solution for 271 is what percent of 1305:

271:1305*100 =

(271*100):1305 =

27100:1305 = 20.77

Now we have: 271 is what percent of 1305 = 20.77

Question: 271 is what percent of 1305?

Percentage solution with steps:

Step 1: We make the assumption that 1305 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\%}={1305}.

Step 4: In the same vein, {x\%}={271}.

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

{100\%}={1305}(1).

{x\%}={271}(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{1305}{271}

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

\frac{x\%}{100\%}=\frac{271}{1305}

\Rightarrow{x} = {20.77\%}

Therefore, {271} is {20.77\%} of {1305}.

#### Solution for 1305 is what percent of 271:

1305:271*100 =

(1305*100):271 =

130500:271 = 481.55

Now we have: 1305 is what percent of 271 = 481.55

Question: 1305 is what percent of 271?

Percentage solution with steps:

Step 1: We make the assumption that 271 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\%}={271}.

Step 4: In the same vein, {x\%}={1305}.

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

{100\%}={271}(1).

{x\%}={1305}(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{271}{1305}

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

\frac{x\%}{100\%}=\frac{1305}{271}

\Rightarrow{x} = {481.55\%}

Therefore, {1305} is {481.55\%} of {271}.

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