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Solution for 258 is what percent of 55:

258:55*100 =

(258*100):55 =

25800:55 = 469.09

Now we have: 258 is what percent of 55 = 469.09

Question: 258 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={258}.

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

{100\%}={55}(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{55}{258}

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

\frac{x\%}{100\%}=\frac{258}{55}

\Rightarrow{x} = {469.09\%}

Therefore, {258} is {469.09\%} of {55}.

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Solution for 55 is what percent of 258:

55:258*100 =

(55*100):258 =

5500:258 = 21.32

Now we have: 55 is what percent of 258 = 21.32

Question: 55 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\%}={55}.

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

{100\%}={258}(1).

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{258}

\Rightarrow{x} = {21.32\%}

Therefore, {55} is {21.32\%} of {258}.