#### Solution for 218 is what percent of 448:

218:448*100 =

(218*100):448 =

21800:448 = 48.66

Now we have: 218 is what percent of 448 = 48.66

Question: 218 is what percent of 448?

Percentage solution with steps:

Step 1: We make the assumption that 448 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\%}={448}.

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

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

{100\%}={448}(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{448}{218}

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

\frac{x\%}{100\%}=\frac{218}{448}

\Rightarrow{x} = {48.66\%}

Therefore, {218} is {48.66\%} of {448}.

#### Solution for 448 is what percent of 218:

448:218*100 =

(448*100):218 =

44800:218 = 205.5

Now we have: 448 is what percent of 218 = 205.5

Question: 448 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\%}={448}.

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

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

{x\%}={448}(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}{448}

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

\frac{x\%}{100\%}=\frac{448}{218}

\Rightarrow{x} = {205.5\%}

Therefore, {448} is {205.5\%} of {218}.

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