#### Solution for 30 is what percent of 182:

30:182*100 =

(30*100):182 =

3000:182 = 16.48

Now we have: 30 is what percent of 182 = 16.48

Question: 30 is what percent of 182?

Percentage solution with steps:

Step 1: We make the assumption that 182 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\%}={182}.

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

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

{100\%}={182}(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{182}{30}

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

\frac{x\%}{100\%}=\frac{30}{182}

\Rightarrow{x} = {16.48\%}

Therefore, {30} is {16.48\%} of {182}.

#### Solution for 182 is what percent of 30:

182:30*100 =

(182*100):30 =

18200:30 = 606.67

Now we have: 182 is what percent of 30 = 606.67

Question: 182 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\%}={182}.

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

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

{x\%}={182}(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}{182}

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

\frac{x\%}{100\%}=\frac{182}{30}

\Rightarrow{x} = {606.67\%}

Therefore, {182} is {606.67\%} of {30}.

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