#### Solution for 72 is what percent of 216:

72:216*100 =

(72*100):216 =

7200:216 = 33.33

Now we have: 72 is what percent of 216 = 33.33

Question: 72 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\%}={72}.

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

{100\%}={216}(1).

{x\%}={72}(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}{72}

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

\frac{x\%}{100\%}=\frac{72}{216}

\Rightarrow{x} = {33.33\%}

Therefore, {72} is {33.33\%} of {216}.

#### Solution for 216 is what percent of 72:

216:72*100 =

(216*100):72 =

21600:72 = 300

Now we have: 216 is what percent of 72 = 300

Question: 216 is what percent of 72?

Percentage solution with steps:

Step 1: We make the assumption that 72 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\%}={72}.

Step 4: In the same vein, {x\%}={216}.

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

{100\%}={72}(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{72}{216}

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

\frac{x\%}{100\%}=\frac{216}{72}

\Rightarrow{x} = {300\%}

Therefore, {216} is {300\%} of {72}.

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