#### Solution for 379 is what percent of 109:

379:109*100 =

(379*100):109 =

37900:109 = 347.71

Now we have: 379 is what percent of 109 = 347.71

Question: 379 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\%}={379}.

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

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

{x\%}={379}(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}{379}

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

\frac{x\%}{100\%}=\frac{379}{109}

\Rightarrow{x} = {347.71\%}

Therefore, {379} is {347.71\%} of {109}.

#### Solution for 109 is what percent of 379:

109:379*100 =

(109*100):379 =

10900:379 = 28.76

Now we have: 109 is what percent of 379 = 28.76

Question: 109 is what percent of 379?

Percentage solution with steps:

Step 1: We make the assumption that 379 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\%}={379}.

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

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

{100\%}={379}(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{379}{109}

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

\frac{x\%}{100\%}=\frac{109}{379}

\Rightarrow{x} = {28.76\%}

Therefore, {109} is {28.76\%} of {379}.

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