#### Solution for 393.5 is what percent of 480:

393.5:480*100 =

(393.5*100):480 =

39350:480 = 81.979166666667

Now we have: 393.5 is what percent of 480 = 81.979166666667

Question: 393.5 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\%}={393.5}.

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

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

{x\%}={393.5}(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}{393.5}

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

\frac{x\%}{100\%}=\frac{393.5}{480}

\Rightarrow{x} = {81.979166666667\%}

Therefore, {393.5} is {81.979166666667\%} of {480}.

#### Solution for 480 is what percent of 393.5:

480:393.5*100 =

(480*100):393.5 =

48000:393.5 = 121.98221092757

Now we have: 480 is what percent of 393.5 = 121.98221092757

Question: 480 is what percent of 393.5?

Percentage solution with steps:

Step 1: We make the assumption that 393.5 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\%}={393.5}.

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

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

{100\%}={393.5}(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{393.5}{480}

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

\frac{x\%}{100\%}=\frac{480}{393.5}

\Rightarrow{x} = {121.98221092757\%}

Therefore, {480} is {121.98221092757\%} of {393.5}.

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