#### Solution for 109 is what percent of 425:

109:425*100 =

(109*100):425 =

10900:425 = 25.65

Now we have: 109 is what percent of 425 = 25.65

Question: 109 is what percent of 425?

Percentage solution with steps:

Step 1: We make the assumption that 425 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\%}={425}.

Step 4: In the same vein, {x\%}={109}.

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

{100\%}={425}(1).

{x\%}={109}(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{425}{109}

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

\frac{x\%}{100\%}=\frac{109}{425}

\Rightarrow{x} = {25.65\%}

Therefore, {109} is {25.65\%} of {425}.

#### Solution for 425 is what percent of 109:

425:109*100 =

(425*100):109 =

42500:109 = 389.91

Now we have: 425 is what percent of 109 = 389.91

Question: 425 is what percent of 109?

Percentage solution with steps:

Step 1: We make the assumption that 109 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\%}={109}.

Step 4: In the same vein, {x\%}={425}.

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

{100\%}={109}(1).

{x\%}={425}(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{109}{425}

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

\frac{x\%}{100\%}=\frac{425}{109}

\Rightarrow{x} = {389.91\%}

Therefore, {425} is {389.91\%} of {109}.

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