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Solution for 15.00 is what percent of 40:

15.00:40*100 =

(15.00*100):40 =

1500:40 = 37.5

Now we have: 15.00 is what percent of 40 = 37.5

Question: 15.00 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\%}={15.00}.

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

{100\%}={40}(1).

{x\%}={15.00}(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}{15.00}

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

\frac{x\%}{100\%}=\frac{15.00}{40}

\Rightarrow{x} = {37.5\%}

Therefore, {15.00} is {37.5\%} of {40}.

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• 15.00 is what percent of 40 = 37.5
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Solution for 40 is what percent of 15.00:

40:15.00*100 =

(40*100):15.00 =

4000:15.00 = 266.66666666667

Now we have: 40 is what percent of 15.00 = 266.66666666667

Question: 40 is what percent of 15.00?

Percentage solution with steps:

Step 1: We make the assumption that 15.00 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\%}={15.00}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={15.00}(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{15.00}{40}

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

\frac{x\%}{100\%}=\frac{40}{15.00}

\Rightarrow{x} = {266.66666666667\%}

Therefore, {40} is {266.66666666667\%} of {15.00}.