#### Solution for 27.2 is what percent of 30:

27.2:30*100 =

(27.2*100):30 =

2720:30 = 90.666666666667

Now we have: 27.2 is what percent of 30 = 90.666666666667

Question: 27.2 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={27.2}.

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

{100\%}={30}(1).

{x\%}={27.2}(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{30}{27.2}

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

\frac{x\%}{100\%}=\frac{27.2}{30}

\Rightarrow{x} = {90.666666666667\%}

Therefore, {27.2} is {90.666666666667\%} of {30}.

#### Solution for 30 is what percent of 27.2:

30:27.2*100 =

(30*100):27.2 =

3000:27.2 = 110.29411764706

Now we have: 30 is what percent of 27.2 = 110.29411764706

Question: 30 is what percent of 27.2?

Percentage solution with steps:

Step 1: We make the assumption that 27.2 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\%}={27.2}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={27.2}(1).

{x\%}={30}(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{27.2}{30}

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

\frac{x\%}{100\%}=\frac{30}{27.2}

\Rightarrow{x} = {110.29411764706\%}

Therefore, {30} is {110.29411764706\%} of {27.2}.

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