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Solution for 20 is what percent of 22.5:

20:22.5*100 =

(20*100):22.5 =

2000:22.5 = 88.888888888889

Now we have: 20 is what percent of 22.5 = 88.888888888889

Question: 20 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\%}={20}.

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

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

{x\%}={20}(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}{20}

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

\frac{x\%}{100\%}=\frac{20}{22.5}

\Rightarrow{x} = {88.888888888889\%}

Therefore, {20} is {88.888888888889\%} of {22.5}.

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Solution for 22.5 is what percent of 20:

22.5:20*100 =

(22.5*100):20 =

2250:20 = 112.5

Now we have: 22.5 is what percent of 20 = 112.5

Question: 22.5 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

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

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

{100\%}={20}(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{20}{22.5}

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

\frac{x\%}{100\%}=\frac{22.5}{20}

\Rightarrow{x} = {112.5\%}

Therefore, {22.5} is {112.5\%} of {20}.