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Solution for 1003 is what percent of 61:

1003:61*100 =

(1003*100):61 =

100300:61 = 1644.26

Now we have: 1003 is what percent of 61 = 1644.26

Question: 1003 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

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

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

{100\%}={61}(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{61}{1003}

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

\frac{x\%}{100\%}=\frac{1003}{61}

\Rightarrow{x} = {1644.26\%}

Therefore, {1003} is {1644.26\%} of {61}.

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Solution for 61 is what percent of 1003:

61:1003*100 =

(61*100):1003 =

6100:1003 = 6.08

Now we have: 61 is what percent of 1003 = 6.08

Question: 61 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\%}={61}.

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

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

{x\%}={61}(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}{61}

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

\frac{x\%}{100\%}=\frac{61}{1003}

\Rightarrow{x} = {6.08\%}

Therefore, {61} is {6.08\%} of {1003}.