#### Solution for 116 is what percent of 232:

116:232*100 =

(116*100):232 =

11600:232 = 50

Now we have: 116 is what percent of 232 = 50

Question: 116 is what percent of 232?

Percentage solution with steps:

Step 1: We make the assumption that 232 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\%}={232}.

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

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

{100\%}={232}(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{232}{116}

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

\frac{x\%}{100\%}=\frac{116}{232}

\Rightarrow{x} = {50\%}

Therefore, {116} is {50\%} of {232}.

#### Solution for 232 is what percent of 116:

232:116*100 =

(232*100):116 =

23200:116 = 200

Now we have: 232 is what percent of 116 = 200

Question: 232 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\%}={232}.

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

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

{x\%}={232}(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}{232}

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

\frac{x\%}{100\%}=\frac{232}{116}

\Rightarrow{x} = {200\%}

Therefore, {232} is {200\%} of {116}.

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