#### Solution for 14.5 is what percent of 20:

14.5:20*100 =

(14.5*100):20 =

1450:20 = 72.5

Now we have: 14.5 is what percent of 20 = 72.5

Question: 14.5 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={14.5}.

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

{100\%}={20}(1).

{x\%}={14.5}(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{20}{14.5}

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

\frac{x\%}{100\%}=\frac{14.5}{20}

\Rightarrow{x} = {72.5\%}

Therefore, {14.5} is {72.5\%} of {20}.

#### Solution for 20 is what percent of 14.5:

20:14.5*100 =

(20*100):14.5 =

2000:14.5 = 137.93103448276

Now we have: 20 is what percent of 14.5 = 137.93103448276

Question: 20 is what percent of 14.5?

Percentage solution with steps:

Step 1: We make the assumption that 14.5 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\%}={14.5}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={14.5}(1).

{x\%}={20}(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{14.5}{20}

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

\frac{x\%}{100\%}=\frac{20}{14.5}

\Rightarrow{x} = {137.93103448276\%}

Therefore, {20} is {137.93103448276\%} of {14.5}.

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