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Solution for 258 is what percent of 46:

258:46*100 =

(258*100):46 =

25800:46 = 560.87

Now we have: 258 is what percent of 46 = 560.87

Question: 258 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\%}={258}.

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

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

{x\%}={258}(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}{258}

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

\frac{x\%}{100\%}=\frac{258}{46}

\Rightarrow{x} = {560.87\%}

Therefore, {258} is {560.87\%} of {46}.

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Solution for 46 is what percent of 258:

46:258*100 =

(46*100):258 =

4600:258 = 17.83

Now we have: 46 is what percent of 258 = 17.83

Question: 46 is what percent of 258?

Percentage solution with steps:

Step 1: We make the assumption that 258 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\%}={258}.

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

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

{100\%}={258}(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{258}{46}

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

\frac{x\%}{100\%}=\frac{46}{258}

\Rightarrow{x} = {17.83\%}

Therefore, {46} is {17.83\%} of {258}.