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Solution for 30 is what percent of 108:

30:108*100 =

(30*100):108 =

3000:108 = 27.78

Now we have: 30 is what percent of 108 = 27.78

Question: 30 is what percent of 108?

Percentage solution with steps:

Step 1: We make the assumption that 108 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\%}={108}.

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

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

{100\%}={108}(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{108}{30}

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

\frac{x\%}{100\%}=\frac{30}{108}

\Rightarrow{x} = {27.78\%}

Therefore, {30} is {27.78\%} of {108}.

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Solution for 108 is what percent of 30:

108:30*100 =

(108*100):30 =

10800:30 = 360

Now we have: 108 is what percent of 30 = 360

Question: 108 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\%}={108}.

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

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

{x\%}={108}(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}{108}

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

\frac{x\%}{100\%}=\frac{108}{30}

\Rightarrow{x} = {360\%}

Therefore, {108} is {360\%} of {30}.