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Solution for 272 is what percent of 85:

272:85*100 =

(272*100):85 =

27200:85 = 320

Now we have: 272 is what percent of 85 = 320

Question: 272 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

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

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

{100\%}={85}(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{85}{272}

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

\frac{x\%}{100\%}=\frac{272}{85}

\Rightarrow{x} = {320\%}

Therefore, {272} is {320\%} of {85}.

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Solution for 85 is what percent of 272:

85:272*100 =

(85*100):272 =

8500:272 = 31.25

Now we have: 85 is what percent of 272 = 31.25

Question: 85 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\%}={85}.

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

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

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{272}

\Rightarrow{x} = {31.25\%}

Therefore, {85} is {31.25\%} of {272}.