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Solution for 272 is what percent of 75:

272:75*100 =

(272*100):75 =

27200:75 = 362.67

Now we have: 272 is what percent of 75 = 362.67

Question: 272 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{272}

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

\frac{x\%}{100\%}=\frac{272}{75}

\Rightarrow{x} = {362.67\%}

Therefore, {272} is {362.67\%} of {75}.

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Solution for 75 is what percent of 272:

75:272*100 =

(75*100):272 =

7500:272 = 27.57

Now we have: 75 is what percent of 272 = 27.57

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{272}

\Rightarrow{x} = {27.57\%}

Therefore, {75} is {27.57\%} of {272}.