#### Solution for 32 is what percent of 218:

32:218*100 =

(32*100):218 =

3200:218 = 14.68

Now we have: 32 is what percent of 218 = 14.68

Question: 32 is what percent of 218?

Percentage solution with steps:

Step 1: We make the assumption that 218 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\%}={218}.

Step 4: In the same vein, {x\%}={32}.

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

{100\%}={218}(1).

{x\%}={32}(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{218}{32}

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

\frac{x\%}{100\%}=\frac{32}{218}

\Rightarrow{x} = {14.68\%}

Therefore, {32} is {14.68\%} of {218}.

#### Solution for 218 is what percent of 32:

218:32*100 =

(218*100):32 =

21800:32 = 681.25

Now we have: 218 is what percent of 32 = 681.25

Question: 218 is what percent of 32?

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={32}.

Step 4: In the same vein, {x\%}={218}.

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

{100\%}={32}(1).

{x\%}={218}(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{32}{218}

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

\frac{x\%}{100\%}=\frac{218}{32}

\Rightarrow{x} = {681.25\%}

Therefore, {218} is {681.25\%} of {32}.

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