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Solution for 1003 is what percent of 33:

1003:33*100 =

(1003*100):33 =

100300:33 = 3039.39

Now we have: 1003 is what percent of 33 = 3039.39

Question: 1003 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

Step 4: In the same vein, {x\%}={1003}.

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

{100\%}={33}(1).

{x\%}={1003}(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{33}{1003}

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

\frac{x\%}{100\%}=\frac{1003}{33}

\Rightarrow{x} = {3039.39\%}

Therefore, {1003} is {3039.39\%} of {33}.

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Solution for 33 is what percent of 1003:

33:1003*100 =

(33*100):1003 =

3300:1003 = 3.29

Now we have: 33 is what percent of 1003 = 3.29

Question: 33 is what percent of 1003?

Percentage solution with steps:

Step 1: We make the assumption that 1003 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\%}={1003}.

Step 4: In the same vein, {x\%}={33}.

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

{100\%}={1003}(1).

{x\%}={33}(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{1003}{33}

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

\frac{x\%}{100\%}=\frac{33}{1003}

\Rightarrow{x} = {3.29\%}

Therefore, {33} is {3.29\%} of {1003}.