#### Solution for 203 is what percent of 296:

203:296*100 =

(203*100):296 =

20300:296 = 68.58

Now we have: 203 is what percent of 296 = 68.58

Question: 203 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\%}={203}.

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

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

{x\%}={203}(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}{203}

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

\frac{x\%}{100\%}=\frac{203}{296}

\Rightarrow{x} = {68.58\%}

Therefore, {203} is {68.58\%} of {296}.

#### Solution for 296 is what percent of 203:

296:203*100 =

(296*100):203 =

29600:203 = 145.81

Now we have: 296 is what percent of 203 = 145.81

Question: 296 is what percent of 203?

Percentage solution with steps:

Step 1: We make the assumption that 203 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\%}={203}.

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

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

{100\%}={203}(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{203}{296}

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

\frac{x\%}{100\%}=\frac{296}{203}

\Rightarrow{x} = {145.81\%}

Therefore, {296} is {145.81\%} of {203}.

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