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Solution for 115.00 is what percent of 46:

115.00:46*100 =

(115.00*100):46 =

11500:46 = 250

Now we have: 115.00 is what percent of 46 = 250

Question: 115.00 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\%}={115.00}.

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

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

{x\%}={115.00}(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}{115.00}

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

\frac{x\%}{100\%}=\frac{115.00}{46}

\Rightarrow{x} = {250\%}

Therefore, {115.00} is {250\%} of {46}.

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Solution for 46 is what percent of 115.00:

46:115.00*100 =

(46*100):115.00 =

4600:115.00 = 40

Now we have: 46 is what percent of 115.00 = 40

Question: 46 is what percent of 115.00?

Percentage solution with steps:

Step 1: We make the assumption that 115.00 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\%}={115.00}.

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

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

{100\%}={115.00}(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{115.00}{46}

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

\frac{x\%}{100\%}=\frac{46}{115.00}

\Rightarrow{x} = {40\%}

Therefore, {46} is {40\%} of {115.00}.