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Solution for 46 is what percent of 114:

46:114*100 =

(46*100):114 =

4600:114 = 40.35

Now we have: 46 is what percent of 114 = 40.35

Question: 46 is what percent of 114?

Percentage solution with steps:

Step 1: We make the assumption that 114 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\%}={114}.

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

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

{100\%}={114}(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{114}{46}

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

\frac{x\%}{100\%}=\frac{46}{114}

\Rightarrow{x} = {40.35\%}

Therefore, {46} is {40.35\%} of {114}.

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Solution for 114 is what percent of 46:

114:46*100 =

(114*100):46 =

11400:46 = 247.83

Now we have: 114 is what percent of 46 = 247.83

Question: 114 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\%}={114}.

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

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

{x\%}={114}(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}{114}

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

\frac{x\%}{100\%}=\frac{114}{46}

\Rightarrow{x} = {247.83\%}

Therefore, {114} is {247.83\%} of {46}.