#### Solution for 30 is what percent of 105:

30:105*100 =

(30*100):105 =

3000:105 = 28.57

Now we have: 30 is what percent of 105 = 28.57

Question: 30 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

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

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

{100\%}={105}(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{105}{30}

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

\frac{x\%}{100\%}=\frac{30}{105}

\Rightarrow{x} = {28.57\%}

Therefore, {30} is {28.57\%} of {105}.

#### Solution for 105 is what percent of 30:

105:30*100 =

(105*100):30 =

10500:30 = 350

Now we have: 105 is what percent of 30 = 350

Question: 105 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\%}={105}.

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

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

{x\%}={105}(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}{105}

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

\frac{x\%}{100\%}=\frac{105}{30}

\Rightarrow{x} = {350\%}

Therefore, {105} is {350\%} of {30}.

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