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Solution for 46 is what percent of 97:

46:97*100 =

( 46*100):97 =

4600:97 = 47.42

Now we have: 46 is what percent of 97 = 47.42

Question: 46 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 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\%}={97}.

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

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

{100\%}={97}(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{97}{ 46}

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

\frac{x\%}{100\%}=\frac{ 46}{97}

\Rightarrow{x} = {47.42\%}

Therefore, { 46} is {47.42\%} of {97}.

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Solution for 97 is what percent of 46:

97: 46*100 =

(97*100): 46 =

9700: 46 = 210.87

Now we have: 97 is what percent of 46 = 210.87

Question: 97 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\%}={97}.

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

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

{x\%}={97}(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}{97}

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

\frac{x\%}{100\%}=\frac{97}{ 46}

\Rightarrow{x} = {210.87\%}

Therefore, {97} is {210.87\%} of { 46}.