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Solution for 1009 is what percent of 46:

1009:46*100 =

(1009*100):46 =

100900:46 = 2193.48

Now we have: 1009 is what percent of 46 = 2193.48

Question: 1009 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={1009}.

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

{100\%}={46}(1).

{x\%}={1009}(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{46}{1009}

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

\frac{x\%}{100\%}=\frac{1009}{46}

\Rightarrow{x} = {2193.48\%}

Therefore, {1009} is {2193.48\%} of {46}.

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Solution for 46 is what percent of 1009:

46:1009*100 =

(46*100):1009 =

4600:1009 = 4.56

Now we have: 46 is what percent of 1009 = 4.56

Question: 46 is what percent of 1009?

Percentage solution with steps:

Step 1: We make the assumption that 1009 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\%}={1009}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={1009}(1).

{x\%}={46}(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{1009}{46}

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

\frac{x\%}{100\%}=\frac{46}{1009}

\Rightarrow{x} = {4.56\%}

Therefore, {46} is {4.56\%} of {1009}.