#### Solution for 30 is what percent of 128:

30:128*100 =

(30*100):128 =

3000:128 = 23.44

Now we have: 30 is what percent of 128 = 23.44

Question: 30 is what percent of 128?

Percentage solution with steps:

Step 1: We make the assumption that 128 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\%}={128}.

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

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

{100\%}={128}(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{128}{30}

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

\frac{x\%}{100\%}=\frac{30}{128}

\Rightarrow{x} = {23.44\%}

Therefore, {30} is {23.44\%} of {128}.

#### Solution for 128 is what percent of 30:

128:30*100 =

(128*100):30 =

12800:30 = 426.67

Now we have: 128 is what percent of 30 = 426.67

Question: 128 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\%}={128}.

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

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

{x\%}={128}(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}{128}

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

\frac{x\%}{100\%}=\frac{128}{30}

\Rightarrow{x} = {426.67\%}

Therefore, {128} is {426.67\%} of {30}.

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