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Solution for 500.25 is what percent of 46:

500.25:46*100 =

(500.25*100):46 =

50025:46 = 1087.5

Now we have: 500.25 is what percent of 46 = 1087.5

Question: 500.25 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\%}={500.25}.

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

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

{x\%}={500.25}(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}{500.25}

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

\frac{x\%}{100\%}=\frac{500.25}{46}

\Rightarrow{x} = {1087.5\%}

Therefore, {500.25} is {1087.5\%} of {46}.

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Solution for 46 is what percent of 500.25:

46:500.25*100 =

(46*100):500.25 =

4600:500.25 = 9.1954022988506

Now we have: 46 is what percent of 500.25 = 9.1954022988506

Question: 46 is what percent of 500.25?

Percentage solution with steps:

Step 1: We make the assumption that 500.25 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\%}={500.25}.

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

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

{100\%}={500.25}(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{500.25}{46}

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

\frac{x\%}{100\%}=\frac{46}{500.25}

\Rightarrow{x} = {9.1954022988506\%}

Therefore, {46} is {9.1954022988506\%} of {500.25}.