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Solution for 46 is what percent of 28:

46:28*100 =

( 46*100):28 =

4600:28 = 164.29

Now we have: 46 is what percent of 28 = 164.29

Question: 46 is what percent of 28?

Percentage solution with steps:

Step 1: We make the assumption that 28 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\%}={28}.

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

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

{100\%}={28}(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{28}{ 46}

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

\frac{x\%}{100\%}=\frac{ 46}{28}

\Rightarrow{x} = {164.29\%}

Therefore, { 46} is {164.29\%} of {28}.

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Solution for 28 is what percent of 46:

28: 46*100 =

(28*100): 46 =

2800: 46 = 60.87

Now we have: 28 is what percent of 46 = 60.87

Question: 28 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\%}={28}.

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

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

{x\%}={28}(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}{28}

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

\frac{x\%}{100\%}=\frac{28}{ 46}

\Rightarrow{x} = {60.87\%}

Therefore, {28} is {60.87\%} of { 46}.