#### Solution for 11.50 is what percent of 13:

11.50:13*100 =

(11.50*100):13 =

1150:13 = 88.461538461538

Now we have: 11.50 is what percent of 13 = 88.461538461538

Question: 11.50 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={11.50}.

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

{100\%}={13}(1).

{x\%}={11.50}(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{13}{11.50}

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

\frac{x\%}{100\%}=\frac{11.50}{13}

\Rightarrow{x} = {88.461538461538\%}

Therefore, {11.50} is {88.461538461538\%} of {13}.

#### Solution for 13 is what percent of 11.50:

13:11.50*100 =

(13*100):11.50 =

1300:11.50 = 113.04347826087

Now we have: 13 is what percent of 11.50 = 113.04347826087

Question: 13 is what percent of 11.50?

Percentage solution with steps:

Step 1: We make the assumption that 11.50 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\%}={11.50}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={11.50}(1).

{x\%}={13}(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{11.50}{13}

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

\frac{x\%}{100\%}=\frac{13}{11.50}

\Rightarrow{x} = {113.04347826087\%}

Therefore, {13} is {113.04347826087\%} of {11.50}.

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