#### Solution for 11.5 is what percent of 15:

11.5:15*100 =

(11.5*100):15 =

1150:15 = 76.666666666667

Now we have: 11.5 is what percent of 15 = 76.666666666667

Question: 11.5 is what percent of 15?

Percentage solution with steps:

Step 1: We make the assumption that 15 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}.

Step 4: In the same vein, {x\%}={11.5}.

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

{100\%}={15}(1).

{x\%}={11.5}(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{15}{11.5}

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

\frac{x\%}{100\%}=\frac{11.5}{15}

\Rightarrow{x} = {76.666666666667\%}

Therefore, {11.5} is {76.666666666667\%} of {15}.

#### Solution for 15 is what percent of 11.5:

15:11.5*100 =

(15*100):11.5 =

1500:11.5 = 130.4347826087

Now we have: 15 is what percent of 11.5 = 130.4347826087

Question: 15 is what percent of 11.5?

Percentage solution with steps:

Step 1: We make the assumption that 11.5 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\%}={11.5}.

Step 4: In the same vein, {x\%}={15}.

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

{100\%}={11.5}(1).

{x\%}={15}(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{11.5}{15}

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

\frac{x\%}{100\%}=\frac{15}{11.5}

\Rightarrow{x} = {130.4347826087\%}

Therefore, {15} is {130.4347826087\%} of {11.5}.

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