#### Solution for 22 is what percent of 23:

22: 23*100 =

(22*100): 23 =

2200: 23 = 95.65

Now we have: 22 is what percent of 23 = 95.65

Question: 22 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={ 23}.

Step 4: In the same vein, {x\%}={22}.

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

{100\%}={ 23}(1).

{x\%}={22}(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{ 23}{22}

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

\frac{x\%}{100\%}=\frac{22}{ 23}

\Rightarrow{x} = {95.65\%}

Therefore, {22} is {95.65\%} of { 23}.

#### Solution for 23 is what percent of 22:

23:22*100 =

( 23*100):22 =

2300:22 = 104.55

Now we have: 23 is what percent of 22 = 104.55

Question: 23 is what percent of 22?

Percentage solution with steps:

Step 1: We make the assumption that 22 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}.

Step 4: In the same vein, {x\%}={ 23}.

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

{100\%}={22}(1).

{x\%}={ 23}(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}{ 23}

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

\frac{x\%}{100\%}=\frac{ 23}{22}

\Rightarrow{x} = {104.55\%}

Therefore, { 23} is {104.55\%} of {22}.

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