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Solution for 1003 is what percent of 49:

1003:49*100 =

(1003*100):49 =

100300:49 = 2046.94

Now we have: 1003 is what percent of 49 = 2046.94

Question: 1003 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

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

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

{100\%}={49}(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{49}{1003}

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

\frac{x\%}{100\%}=\frac{1003}{49}

\Rightarrow{x} = {2046.94\%}

Therefore, {1003} is {2046.94\%} of {49}.

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Solution for 49 is what percent of 1003:

49:1003*100 =

(49*100):1003 =

4900:1003 = 4.89

Now we have: 49 is what percent of 1003 = 4.89

Question: 49 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\%}={49}.

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

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

{x\%}={49}(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}{49}

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

\frac{x\%}{100\%}=\frac{49}{1003}

\Rightarrow{x} = {4.89\%}

Therefore, {49} is {4.89\%} of {1003}.