#### Solution for 11.2 is what percent of 90.5:

11.2:90.5*100 =

(11.2*100):90.5 =

1120:90.5 = 12.375690607735

Now we have: 11.2 is what percent of 90.5 = 12.375690607735

Question: 11.2 is what percent of 90.5?

Percentage solution with steps:

Step 1: We make the assumption that 90.5 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\%}={90.5}.

Step 4: In the same vein, {x\%}={11.2}.

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

{100\%}={90.5}(1).

{x\%}={11.2}(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{90.5}{11.2}

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

\frac{x\%}{100\%}=\frac{11.2}{90.5}

\Rightarrow{x} = {12.375690607735\%}

Therefore, {11.2} is {12.375690607735\%} of {90.5}.

#### Solution for 90.5 is what percent of 11.2:

90.5:11.2*100 =

(90.5*100):11.2 =

9050:11.2 = 808.03571428571

Now we have: 90.5 is what percent of 11.2 = 808.03571428571

Question: 90.5 is what percent of 11.2?

Percentage solution with steps:

Step 1: We make the assumption that 11.2 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\%}={11.2}.

Step 4: In the same vein, {x\%}={90.5}.

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

{100\%}={11.2}(1).

{x\%}={90.5}(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{11.2}{90.5}

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

\frac{x\%}{100\%}=\frac{90.5}{11.2}

\Rightarrow{x} = {808.03571428571\%}

Therefore, {90.5} is {808.03571428571\%} of {11.2}.

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