#### Solution for 113 is what percent of 346:

113:346*100 =

(113*100):346 =

11300:346 = 32.66

Now we have: 113 is what percent of 346 = 32.66

Question: 113 is what percent of 346?

Percentage solution with steps:

Step 1: We make the assumption that 346 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\%}={346}.

Step 4: In the same vein, {x\%}={113}.

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

{100\%}={346}(1).

{x\%}={113}(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{346}{113}

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

\frac{x\%}{100\%}=\frac{113}{346}

\Rightarrow{x} = {32.66\%}

Therefore, {113} is {32.66\%} of {346}.

#### Solution for 346 is what percent of 113:

346:113*100 =

(346*100):113 =

34600:113 = 306.19

Now we have: 346 is what percent of 113 = 306.19

Question: 346 is what percent of 113?

Percentage solution with steps:

Step 1: We make the assumption that 113 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\%}={113}.

Step 4: In the same vein, {x\%}={346}.

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

{100\%}={113}(1).

{x\%}={346}(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{113}{346}

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

\frac{x\%}{100\%}=\frac{346}{113}

\Rightarrow{x} = {306.19\%}

Therefore, {346} is {306.19\%} of {113}.

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