#### Solution for 158 is what percent of 272:

158:272*100 =

(158*100):272 =

15800:272 = 58.09

Now we have: 158 is what percent of 272 = 58.09

Question: 158 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\%}={158}.

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

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

{x\%}={158}(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}{158}

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

\frac{x\%}{100\%}=\frac{158}{272}

\Rightarrow{x} = {58.09\%}

Therefore, {158} is {58.09\%} of {272}.

#### Solution for 272 is what percent of 158:

272:158*100 =

(272*100):158 =

27200:158 = 172.15

Now we have: 272 is what percent of 158 = 172.15

Question: 272 is what percent of 158?

Percentage solution with steps:

Step 1: We make the assumption that 158 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\%}={158}.

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

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

{100\%}={158}(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{158}{272}

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

\frac{x\%}{100\%}=\frac{272}{158}

\Rightarrow{x} = {172.15\%}

Therefore, {272} is {172.15\%} of {158}.

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