#### Solution for 200 is what percent of 30:

200: 30*100 =

(200*100): 30 =

20000: 30 = 666.67

Now we have: 200 is what percent of 30 = 666.67

Question: 200 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\%}={200}.

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

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

{x\%}={200}(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}{200}

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

\frac{x\%}{100\%}=\frac{200}{ 30}

\Rightarrow{x} = {666.67\%}

Therefore, {200} is {666.67\%} of { 30}.

#### Solution for 30 is what percent of 200:

30:200*100 =

( 30*100):200 =

3000:200 = 15

Now we have: 30 is what percent of 200 = 15

Question: 30 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

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

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

{100\%}={200}(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{200}{ 30}

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

\frac{x\%}{100\%}=\frac{ 30}{200}

\Rightarrow{x} = {15\%}

Therefore, { 30} is {15\%} of {200}.

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