#### Solution for 296 is what percent of 668:

296:668*100 =

(296*100):668 =

29600:668 = 44.31

Now we have: 296 is what percent of 668 = 44.31

Question: 296 is what percent of 668?

Percentage solution with steps:

Step 1: We make the assumption that 668 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\%}={668}.

Step 4: In the same vein, {x\%}={296}.

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

{100\%}={668}(1).

{x\%}={296}(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{668}{296}

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

\frac{x\%}{100\%}=\frac{296}{668}

\Rightarrow{x} = {44.31\%}

Therefore, {296} is {44.31\%} of {668}.

#### Solution for 668 is what percent of 296:

668:296*100 =

(668*100):296 =

66800:296 = 225.68

Now we have: 668 is what percent of 296 = 225.68

Question: 668 is what percent of 296?

Percentage solution with steps:

Step 1: We make the assumption that 296 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\%}={296}.

Step 4: In the same vein, {x\%}={668}.

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

{100\%}={296}(1).

{x\%}={668}(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{296}{668}

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

\frac{x\%}{100\%}=\frac{668}{296}

\Rightarrow{x} = {225.68\%}

Therefore, {668} is {225.68\%} of {296}.

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