#### Solution for 218 is what percent of 1429:

218:1429*100 =

(218*100):1429 =

21800:1429 = 15.26

Now we have: 218 is what percent of 1429 = 15.26

Question: 218 is what percent of 1429?

Percentage solution with steps:

Step 1: We make the assumption that 1429 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\%}={1429}.

Step 4: In the same vein, {x\%}={218}.

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

{100\%}={1429}(1).

{x\%}={218}(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{1429}{218}

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

\frac{x\%}{100\%}=\frac{218}{1429}

\Rightarrow{x} = {15.26\%}

Therefore, {218} is {15.26\%} of {1429}.

#### Solution for 1429 is what percent of 218:

1429:218*100 =

(1429*100):218 =

142900:218 = 655.5

Now we have: 1429 is what percent of 218 = 655.5

Question: 1429 is what percent of 218?

Percentage solution with steps:

Step 1: We make the assumption that 218 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\%}={218}.

Step 4: In the same vein, {x\%}={1429}.

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

{100\%}={218}(1).

{x\%}={1429}(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{218}{1429}

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

\frac{x\%}{100\%}=\frac{1429}{218}

\Rightarrow{x} = {655.5\%}

Therefore, {1429} is {655.5\%} of {218}.

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