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Solution for 11 is what percent of 22.5:

11:22.5*100 =

(11*100):22.5 =

1100:22.5 = 48.888888888889

Now we have: 11 is what percent of 22.5 = 48.888888888889

Question: 11 is what percent of 22.5?

Percentage solution with steps:

Step 1: We make the assumption that 22.5 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\%}={22.5}.

Step 4: In the same vein, {x\%}={11}.

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

{100\%}={22.5}(1).

{x\%}={11}(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{22.5}{11}

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

\frac{x\%}{100\%}=\frac{11}{22.5}

\Rightarrow{x} = {48.888888888889\%}

Therefore, {11} is {48.888888888889\%} of {22.5}.

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Solution for 22.5 is what percent of 11:

22.5:11*100 =

(22.5*100):11 =

2250:11 = 204.54545454545

Now we have: 22.5 is what percent of 11 = 204.54545454545

Question: 22.5 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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}.

Step 4: In the same vein, {x\%}={22.5}.

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

{100\%}={11}(1).

{x\%}={22.5}(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}{22.5}

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

\frac{x\%}{100\%}=\frac{22.5}{11}

\Rightarrow{x} = {204.54545454545\%}

Therefore, {22.5} is {204.54545454545\%} of {11}.