#### Solution for 105 is what percent of 809:

105:809*100 =

(105*100):809 =

10500:809 = 12.98

Now we have: 105 is what percent of 809 = 12.98

Question: 105 is what percent of 809?

Percentage solution with steps:

Step 1: We make the assumption that 809 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\%}={809}.

Step 4: In the same vein, {x\%}={105}.

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

{100\%}={809}(1).

{x\%}={105}(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{809}{105}

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

\frac{x\%}{100\%}=\frac{105}{809}

\Rightarrow{x} = {12.98\%}

Therefore, {105} is {12.98\%} of {809}.

#### Solution for 809 is what percent of 105:

809:105*100 =

(809*100):105 =

80900:105 = 770.48

Now we have: 809 is what percent of 105 = 770.48

Question: 809 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

Step 4: In the same vein, {x\%}={809}.

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

{100\%}={105}(1).

{x\%}={809}(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{105}{809}

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

\frac{x\%}{100\%}=\frac{809}{105}

\Rightarrow{x} = {770.48\%}

Therefore, {809} is {770.48\%} of {105}.

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