#### Solution for 116 is what percent of 306:

116:306*100 =

(116*100):306 =

11600:306 = 37.91

Now we have: 116 is what percent of 306 = 37.91

Question: 116 is what percent of 306?

Percentage solution with steps:

Step 1: We make the assumption that 306 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\%}={306}.

Step 4: In the same vein, {x\%}={116}.

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

{100\%}={306}(1).

{x\%}={116}(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{306}{116}

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

\frac{x\%}{100\%}=\frac{116}{306}

\Rightarrow{x} = {37.91\%}

Therefore, {116} is {37.91\%} of {306}.

#### Solution for 306 is what percent of 116:

306:116*100 =

(306*100):116 =

30600:116 = 263.79

Now we have: 306 is what percent of 116 = 263.79

Question: 306 is what percent of 116?

Percentage solution with steps:

Step 1: We make the assumption that 116 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\%}={116}.

Step 4: In the same vein, {x\%}={306}.

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

{100\%}={116}(1).

{x\%}={306}(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{116}{306}

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

\frac{x\%}{100\%}=\frac{306}{116}

\Rightarrow{x} = {263.79\%}

Therefore, {306} is {263.79\%} of {116}.

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