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Solution for 46 is what percent of 47:

46:47*100 =

(46*100):47 =

4600:47 = 97.87

Now we have: 46 is what percent of 47 = 97.87

Question: 46 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={47}.

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

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

{100\%}={47}(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{47}{46}

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

\frac{x\%}{100\%}=\frac{46}{47}

\Rightarrow{x} = {97.87\%}

Therefore, {46} is {97.87\%} of {47}.

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Solution for 47 is what percent of 46:

47:46*100 =

(47*100):46 =

4700:46 = 102.17

Now we have: 47 is what percent of 46 = 102.17

Question: 47 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\%}={47}.

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

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

{x\%}={47}(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}{47}

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

\frac{x\%}{100\%}=\frac{47}{46}

\Rightarrow{x} = {102.17\%}

Therefore, {47} is {102.17\%} of {46}.