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Solution for 14 is what percent of 40:

14:40*100 =

( 14*100):40 =

1400:40 = 35

Now we have: 14 is what percent of 40 = 35

Question: 14 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{ 14}

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

\frac{x\%}{100\%}=\frac{ 14}{40}

\Rightarrow{x} = {35\%}

Therefore, { 14} is {35\%} of {40}.

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Solution for 40 is what percent of 14:

40: 14*100 =

(40*100): 14 =

4000: 14 = 285.71

Now we have: 40 is what percent of 14 = 285.71

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{ 14}

\Rightarrow{x} = {285.71\%}

Therefore, {40} is {285.71\%} of { 14}.