#### Solution for 14 is what percent of 80:

14:80*100 =

( 14*100):80 =

1400:80 = 17.5

Now we have: 14 is what percent of 80 = 17.5

Question: 14 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

Step 4: In the same vein, {x\%}={ 14}.

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

{100\%}={80}(1).

{x\%}={ 14}(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{80}{ 14}

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

\frac{x\%}{100\%}=\frac{ 14}{80}

\Rightarrow{x} = {17.5\%}

Therefore, { 14} is {17.5\%} of {80}.

#### Solution for 80 is what percent of 14:

80: 14*100 =

(80*100): 14 =

8000: 14 = 571.43

Now we have: 80 is what percent of 14 = 571.43

Question: 80 is what percent of 14?

Percentage solution with steps:

Step 1: We make the assumption that 14 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}.

Step 4: In the same vein, {x\%}={80}.

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

{100\%}={ 14}(1).

{x\%}={80}(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}{80}

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

\frac{x\%}{100\%}=\frac{80}{ 14}

\Rightarrow{x} = {571.43\%}

Therefore, {80} is {571.43\%} of { 14}.

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