#### Solution for 122 is what percent of 223:

122:223*100 =

(122*100):223 =

12200:223 = 54.71

Now we have: 122 is what percent of 223 = 54.71

Question: 122 is what percent of 223?

Percentage solution with steps:

Step 1: We make the assumption that 223 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\%}={223}.

Step 4: In the same vein, {x\%}={122}.

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

{100\%}={223}(1).

{x\%}={122}(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{223}{122}

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

\frac{x\%}{100\%}=\frac{122}{223}

\Rightarrow{x} = {54.71\%}

Therefore, {122} is {54.71\%} of {223}.

#### Solution for 223 is what percent of 122:

223:122*100 =

(223*100):122 =

22300:122 = 182.79

Now we have: 223 is what percent of 122 = 182.79

Question: 223 is what percent of 122?

Percentage solution with steps:

Step 1: We make the assumption that 122 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\%}={122}.

Step 4: In the same vein, {x\%}={223}.

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

{100\%}={122}(1).

{x\%}={223}(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{122}{223}

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

\frac{x\%}{100\%}=\frac{223}{122}

\Rightarrow{x} = {182.79\%}

Therefore, {223} is {182.79\%} of {122}.

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