#### Solution for 103 is what percent of 379:

103:379*100 =

(103*100):379 =

10300:379 = 27.18

Now we have: 103 is what percent of 379 = 27.18

Question: 103 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\%}={103}.

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

{100\%}={379}(1).

{x\%}={103}(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}{103}

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

\frac{x\%}{100\%}=\frac{103}{379}

\Rightarrow{x} = {27.18\%}

Therefore, {103} is {27.18\%} of {379}.

#### Solution for 379 is what percent of 103:

379:103*100 =

(379*100):103 =

37900:103 = 367.96

Now we have: 379 is what percent of 103 = 367.96

Question: 379 is what percent of 103?

Percentage solution with steps:

Step 1: We make the assumption that 103 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\%}={103}.

Step 4: In the same vein, {x\%}={379}.

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

{100\%}={103}(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{103}{379}

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

\frac{x\%}{100\%}=\frac{379}{103}

\Rightarrow{x} = {367.96\%}

Therefore, {379} is {367.96\%} of {103}.

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