#### Solution for 38 is what percent of 203:

38:203*100 =

(38*100):203 =

3800:203 = 18.72

Now we have: 38 is what percent of 203 = 18.72

Question: 38 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\%}={38}.

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

{100\%}={203}(1).

{x\%}={38}(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}{38}

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

\frac{x\%}{100\%}=\frac{38}{203}

\Rightarrow{x} = {18.72\%}

Therefore, {38} is {18.72\%} of {203}.

#### Solution for 203 is what percent of 38:

203:38*100 =

(203*100):38 =

20300:38 = 534.21

Now we have: 203 is what percent of 38 = 534.21

Question: 203 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

Step 4: In the same vein, {x\%}={203}.

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

{100\%}={38}(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{38}{203}

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

\frac{x\%}{100\%}=\frac{203}{38}

\Rightarrow{x} = {534.21\%}

Therefore, {203} is {534.21\%} of {38}.

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