#### Solution for 116 is what percent of 399:

116:399*100 =

(116*100):399 =

11600:399 = 29.07

Now we have: 116 is what percent of 399 = 29.07

Question: 116 is what percent of 399?

Percentage solution with steps:

Step 1: We make the assumption that 399 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\%}={399}.

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

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

{100\%}={399}(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{399}{116}

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

\frac{x\%}{100\%}=\frac{116}{399}

\Rightarrow{x} = {29.07\%}

Therefore, {116} is {29.07\%} of {399}.

#### Solution for 399 is what percent of 116:

399:116*100 =

(399*100):116 =

39900:116 = 343.97

Now we have: 399 is what percent of 116 = 343.97

Question: 399 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\%}={399}.

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

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

{x\%}={399}(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}{399}

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

\frac{x\%}{100\%}=\frac{399}{116}

\Rightarrow{x} = {343.97\%}

Therefore, {399} is {343.97\%} of {116}.

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