#### Solution for 480 is what percent of 486:

480:486*100 =

(480*100):486 =

48000:486 = 98.77

Now we have: 480 is what percent of 486 = 98.77

Question: 480 is what percent of 486?

Percentage solution with steps:

Step 1: We make the assumption that 486 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\%}={486}.

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

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

{100\%}={486}(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{486}{480}

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

\frac{x\%}{100\%}=\frac{480}{486}

\Rightarrow{x} = {98.77\%}

Therefore, {480} is {98.77\%} of {486}.

#### Solution for 486 is what percent of 480:

486:480*100 =

(486*100):480 =

48600:480 = 101.25

Now we have: 486 is what percent of 480 = 101.25

Question: 486 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\%}={486}.

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

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

{x\%}={486}(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}{486}

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

\frac{x\%}{100\%}=\frac{486}{480}

\Rightarrow{x} = {101.25\%}

Therefore, {486} is {101.25\%} of {480}.

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