#### Solution for 19.5 is what percent of 150:

19.5:150*100 =

(19.5*100):150 =

1950:150 = 13

Now we have: 19.5 is what percent of 150 = 13

Question: 19.5 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

Step 4: In the same vein, {x\%}={19.5}.

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

{100\%}={150}(1).

{x\%}={19.5}(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{150}{19.5}

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

\frac{x\%}{100\%}=\frac{19.5}{150}

\Rightarrow{x} = {13\%}

Therefore, {19.5} is {13\%} of {150}.

#### Solution for 150 is what percent of 19.5:

150:19.5*100 =

(150*100):19.5 =

15000:19.5 = 769.23076923077

Now we have: 150 is what percent of 19.5 = 769.23076923077

Question: 150 is what percent of 19.5?

Percentage solution with steps:

Step 1: We make the assumption that 19.5 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\%}={19.5}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={19.5}(1).

{x\%}={150}(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{19.5}{150}

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

\frac{x\%}{100\%}=\frac{150}{19.5}

\Rightarrow{x} = {769.23076923077\%}

Therefore, {150} is {769.23076923077\%} of {19.5}.

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