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Solution for 2 is what percent of 46:

2:46*100 =

(2*100):46 =

200:46 = 4.35

Now we have: 2 is what percent of 46 = 4.35

Question: 2 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\%}={2}.

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

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

{x\%}={2}(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}{2}

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

\frac{x\%}{100\%}=\frac{2}{46}

\Rightarrow{x} = {4.35\%}

Therefore, {2} is {4.35\%} of {46}.

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Solution for 46 is what percent of 2:

46:2*100 =

(46*100):2 =

4600:2 = 2300

Now we have: 46 is what percent of 2 = 2300

Question: 46 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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\%}={2}.

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

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

{100\%}={2}(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{2}{46}

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

\frac{x\%}{100\%}=\frac{46}{2}

\Rightarrow{x} = {2300\%}

Therefore, {46} is {2300\%} of {2}.