#### Solution for 271 is what percent of 480:

271:480*100 =

(271*100):480 =

27100:480 = 56.46

Now we have: 271 is what percent of 480 = 56.46

Question: 271 is what percent of 480?

Percentage solution with steps:

Step 1: We make the assumption that 480 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\%}={480}.

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

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

{100\%}={480}(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{480}{271}

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

\frac{x\%}{100\%}=\frac{271}{480}

\Rightarrow{x} = {56.46\%}

Therefore, {271} is {56.46\%} of {480}.

#### Solution for 480 is what percent of 271:

480:271*100 =

(480*100):271 =

48000:271 = 177.12

Now we have: 480 is what percent of 271 = 177.12

Question: 480 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\%}={480}.

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

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

{x\%}={480}(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}{480}

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

\frac{x\%}{100\%}=\frac{480}{271}

\Rightarrow{x} = {177.12\%}

Therefore, {480} is {177.12\%} of {271}.

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