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Solution for 30 is what percent of 80:

30:80*100 =

(30*100):80 =

3000:80 = 37.5

Now we have: 30 is what percent of 80 = 37.5

Question: 30 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

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

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

{100\%}={80}(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{80}{30}

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

\frac{x\%}{100\%}=\frac{30}{80}

\Rightarrow{x} = {37.5\%}

Therefore, {30} is {37.5\%} of {80}.

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Solution for 80 is what percent of 30:

80:30*100 =

(80*100):30 =

8000:30 = 266.67

Now we have: 80 is what percent of 30 = 266.67

Question: 80 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\%}={80}.

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

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

{x\%}={80}(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}{80}

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

\frac{x\%}{100\%}=\frac{80}{30}

\Rightarrow{x} = {266.67\%}

Therefore, {80} is {266.67\%} of {30}.