#### Solution for 129 is what percent of 223:

129:223*100 =

(129*100):223 =

12900:223 = 57.85

Now we have: 129 is what percent of 223 = 57.85

Question: 129 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\%}={129}.

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

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

{x\%}={129}(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}{129}

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

\frac{x\%}{100\%}=\frac{129}{223}

\Rightarrow{x} = {57.85\%}

Therefore, {129} is {57.85\%} of {223}.

#### Solution for 223 is what percent of 129:

223:129*100 =

(223*100):129 =

22300:129 = 172.87

Now we have: 223 is what percent of 129 = 172.87

Question: 223 is what percent of 129?

Percentage solution with steps:

Step 1: We make the assumption that 129 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\%}={129}.

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

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

{100\%}={129}(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{129}{223}

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

\frac{x\%}{100\%}=\frac{223}{129}

\Rightarrow{x} = {172.87\%}

Therefore, {223} is {172.87\%} of {129}.

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