#### Solution for 103 is what percent of 916:

103:916*100 =

(103*100):916 =

10300:916 = 11.24

Now we have: 103 is what percent of 916 = 11.24

Question: 103 is what percent of 916?

Percentage solution with steps:

Step 1: We make the assumption that 916 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\%}={916}.

Step 4: In the same vein, {x\%}={103}.

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

{100\%}={916}(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{916}{103}

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

\frac{x\%}{100\%}=\frac{103}{916}

\Rightarrow{x} = {11.24\%}

Therefore, {103} is {11.24\%} of {916}.

#### Solution for 916 is what percent of 103:

916:103*100 =

(916*100):103 =

91600:103 = 889.32

Now we have: 916 is what percent of 103 = 889.32

Question: 916 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\%}={916}.

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

{100\%}={103}(1).

{x\%}={916}(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}{916}

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

\frac{x\%}{100\%}=\frac{916}{103}

\Rightarrow{x} = {889.32\%}

Therefore, {916} is {889.32\%} of {103}.

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