#### Solution for 139 is what percent of 296:

139:296*100 =

(139*100):296 =

13900:296 = 46.96

Now we have: 139 is what percent of 296 = 46.96

Question: 139 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\%}={139}.

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

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

{x\%}={139}(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}{139}

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

\frac{x\%}{100\%}=\frac{139}{296}

\Rightarrow{x} = {46.96\%}

Therefore, {139} is {46.96\%} of {296}.

#### Solution for 296 is what percent of 139:

296:139*100 =

(296*100):139 =

29600:139 = 212.95

Now we have: 296 is what percent of 139 = 212.95

Question: 296 is what percent of 139?

Percentage solution with steps:

Step 1: We make the assumption that 139 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\%}={139}.

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

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

{100\%}={139}(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{139}{296}

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

\frac{x\%}{100\%}=\frac{296}{139}

\Rightarrow{x} = {212.95\%}

Therefore, {296} is {212.95\%} of {139}.

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