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Solution for 15.00 is what percent of 11.25:

15.00:11.25*100 =

(15.00*100):11.25 =

1500:11.25 = 133.33333333333

Now we have: 15.00 is what percent of 11.25 = 133.33333333333

Question: 15.00 is what percent of 11.25?

Percentage solution with steps:

Step 1: We make the assumption that 11.25 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\%}={11.25}.

Step 4: In the same vein, {x\%}={15.00}.

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

{100\%}={11.25}(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{11.25}{15.00}

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

\frac{x\%}{100\%}=\frac{15.00}{11.25}

\Rightarrow{x} = {133.33333333333\%}

Therefore, {15.00} is {133.33333333333\%} of {11.25}.

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Solution for 11.25 is what percent of 15.00:

11.25:15.00*100 =

(11.25*100):15.00 =

1125:15.00 = 75

Now we have: 11.25 is what percent of 15.00 = 75

Question: 11.25 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\%}={11.25}.

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

{100\%}={15.00}(1).

{x\%}={11.25}(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}{11.25}

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

\frac{x\%}{100\%}=\frac{11.25}{15.00}

\Rightarrow{x} = {75\%}

Therefore, {11.25} is {75\%} of {15.00}.