#### Solution for 220 is what percent of 472:

220:472*100 =

(220*100):472 =

22000:472 = 46.61

Now we have: 220 is what percent of 472 = 46.61

Question: 220 is what percent of 472?

Percentage solution with steps:

Step 1: We make the assumption that 472 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\%}={472}.

Step 4: In the same vein, {x\%}={220}.

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

{100\%}={472}(1).

{x\%}={220}(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{472}{220}

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

\frac{x\%}{100\%}=\frac{220}{472}

\Rightarrow{x} = {46.61\%}

Therefore, {220} is {46.61\%} of {472}.

#### Solution for 472 is what percent of 220:

472:220*100 =

(472*100):220 =

47200:220 = 214.55

Now we have: 472 is what percent of 220 = 214.55

Question: 472 is what percent of 220?

Percentage solution with steps:

Step 1: We make the assumption that 220 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\%}={220}.

Step 4: In the same vein, {x\%}={472}.

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

{100\%}={220}(1).

{x\%}={472}(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{220}{472}

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

\frac{x\%}{100\%}=\frac{472}{220}

\Rightarrow{x} = {214.55\%}

Therefore, {472} is {214.55\%} of {220}.

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