#### Solution for 216 is what percent of 480:

216:480*100 =

(216*100):480 =

21600:480 = 45

Now we have: 216 is what percent of 480 = 45

Question: 216 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\%}={216}.

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

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

{x\%}={216}(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}{216}

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

\frac{x\%}{100\%}=\frac{216}{480}

\Rightarrow{x} = {45\%}

Therefore, {216} is {45\%} of {480}.

#### Solution for 480 is what percent of 216:

480:216*100 =

(480*100):216 =

48000:216 = 222.22

Now we have: 480 is what percent of 216 = 222.22

Question: 480 is what percent of 216?

Percentage solution with steps:

Step 1: We make the assumption that 216 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\%}={216}.

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

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

{100\%}={216}(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{216}{480}

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

\frac{x\%}{100\%}=\frac{480}{216}

\Rightarrow{x} = {222.22\%}

Therefore, {480} is {222.22\%} of {216}.

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