#### Solution for 3 is what percent of 203:

3:203*100 =

(3*100):203 =

300:203 = 1.48

Now we have: 3 is what percent of 203 = 1.48

Question: 3 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\%}={3}.

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

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

{x\%}={3}(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}{3}

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

\frac{x\%}{100\%}=\frac{3}{203}

\Rightarrow{x} = {1.48\%}

Therefore, {3} is {1.48\%} of {203}.

#### Solution for 203 is what percent of 3:

203:3*100 =

(203*100):3 =

20300:3 = 6766.67

Now we have: 203 is what percent of 3 = 6766.67

Question: 203 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

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

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

{100\%}={3}(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{3}{203}

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

\frac{x\%}{100\%}=\frac{203}{3}

\Rightarrow{x} = {6766.67\%}

Therefore, {203} is {6766.67\%} of {3}.

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