#### Solution for 30 is what percent of 285:

30:285*100 =

(30*100):285 =

3000:285 = 10.53

Now we have: 30 is what percent of 285 = 10.53

Question: 30 is what percent of 285?

Percentage solution with steps:

Step 1: We make the assumption that 285 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\%}={285}.

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

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

{100\%}={285}(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{285}{30}

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

\frac{x\%}{100\%}=\frac{30}{285}

\Rightarrow{x} = {10.53\%}

Therefore, {30} is {10.53\%} of {285}.

#### Solution for 285 is what percent of 30:

285:30*100 =

(285*100):30 =

28500:30 = 950

Now we have: 285 is what percent of 30 = 950

Question: 285 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\%}={285}.

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

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

{x\%}={285}(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}{285}

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

\frac{x\%}{100\%}=\frac{285}{30}

\Rightarrow{x} = {950\%}

Therefore, {285} is {950\%} of {30}.

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