#### Solution for 19 is what percent of 30:

19:30*100 =

(19*100):30 =

1900:30 = 63.33

Now we have: 19 is what percent of 30 = 63.33

Question: 19 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\%}={19}.

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

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

{x\%}={19}(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}{19}

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

\frac{x\%}{100\%}=\frac{19}{30}

\Rightarrow{x} = {63.33\%}

Therefore, {19} is {63.33\%} of {30}.

#### Solution for 30 is what percent of 19:

30:19*100 =

(30*100):19 =

3000:19 = 157.89

Now we have: 30 is what percent of 19 = 157.89

Question: 30 is what percent of 19?

Percentage solution with steps:

Step 1: We make the assumption that 19 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\%}={19}.

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

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

{100\%}={19}(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{19}{30}

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

\frac{x\%}{100\%}=\frac{30}{19}

\Rightarrow{x} = {157.89\%}

Therefore, {30} is {157.89\%} of {19}.

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