#### Solution for 272 is what percent of 644:

272:644*100 =

(272*100):644 =

27200:644 = 42.24

Now we have: 272 is what percent of 644 = 42.24

Question: 272 is what percent of 644?

Percentage solution with steps:

Step 1: We make the assumption that 644 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\%}={644}.

Step 4: In the same vein, {x\%}={272}.

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

{100\%}={644}(1).

{x\%}={272}(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{644}{272}

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

\frac{x\%}{100\%}=\frac{272}{644}

\Rightarrow{x} = {42.24\%}

Therefore, {272} is {42.24\%} of {644}.

#### Solution for 644 is what percent of 272:

644:272*100 =

(644*100):272 =

64400:272 = 236.76

Now we have: 644 is what percent of 272 = 236.76

Question: 644 is what percent of 272?

Percentage solution with steps:

Step 1: We make the assumption that 272 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\%}={272}.

Step 4: In the same vein, {x\%}={644}.

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

{100\%}={272}(1).

{x\%}={644}(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{272}{644}

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

\frac{x\%}{100\%}=\frac{644}{272}

\Rightarrow{x} = {236.76\%}

Therefore, {644} is {236.76\%} of {272}.

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