#### Solution for 276 is what percent of 480:

276:480*100 =

(276*100):480 =

27600:480 = 57.5

Now we have: 276 is what percent of 480 = 57.5

Question: 276 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\%}={276}.

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

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

{x\%}={276}(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}{276}

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

\frac{x\%}{100\%}=\frac{276}{480}

\Rightarrow{x} = {57.5\%}

Therefore, {276} is {57.5\%} of {480}.

#### Solution for 480 is what percent of 276:

480:276*100 =

(480*100):276 =

48000:276 = 173.91

Now we have: 480 is what percent of 276 = 173.91

Question: 480 is what percent of 276?

Percentage solution with steps:

Step 1: We make the assumption that 276 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\%}={276}.

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

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

{100\%}={276}(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{276}{480}

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

\frac{x\%}{100\%}=\frac{480}{276}

\Rightarrow{x} = {173.91\%}

Therefore, {480} is {173.91\%} of {276}.

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