#### Solution for 14.5 is what percent of 40:

14.5: 40*100 =

(14.5*100): 40 =

1450: 40 = 36.25

Now we have: 14.5 is what percent of 40 = 36.25

Question: 14.5 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\%}={14.5}.

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

{100\%}={ 40}(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{ 40}{14.5}

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

\frac{x\%}{100\%}=\frac{14.5}{ 40}

\Rightarrow{x} = {36.25\%}

Therefore, {14.5} is {36.25\%} of { 40}.

#### Solution for 40 is what percent of 14.5:

40:14.5*100 =

( 40*100):14.5 =

4000:14.5 = 275.86206896552

Now we have: 40 is what percent of 14.5 = 275.86206896552

Question: 40 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\%}={ 40}.

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

{100\%}={14.5}(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{14.5}{ 40}

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

\frac{x\%}{100\%}=\frac{ 40}{14.5}

\Rightarrow{x} = {275.86206896552\%}

Therefore, { 40} is {275.86206896552\%} of {14.5}.

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