#### Solution for 275 is what percent of 480:

275:480*100 =

(275*100):480 =

27500:480 = 57.29

Now we have: 275 is what percent of 480 = 57.29

Question: 275 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\%}={275}.

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

{100\%}={480}(1).

{x\%}={275}(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}{275}

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

\frac{x\%}{100\%}=\frac{275}{480}

\Rightarrow{x} = {57.29\%}

Therefore, {275} is {57.29\%} of {480}.

#### Solution for 480 is what percent of 275:

480:275*100 =

(480*100):275 =

48000:275 = 174.55

Now we have: 480 is what percent of 275 = 174.55

Question: 480 is what percent of 275?

Percentage solution with steps:

Step 1: We make the assumption that 275 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\%}={275}.

Step 4: In the same vein, {x\%}={480}.

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

{100\%}={275}(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{275}{480}

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

\frac{x\%}{100\%}=\frac{480}{275}

\Rightarrow{x} = {174.55\%}

Therefore, {480} is {174.55\%} of {275}.

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