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Solution for 55 is what percent of 230:

55:230*100 =

(55*100):230 =

5500:230 = 23.91

Now we have: 55 is what percent of 230 = 23.91

Question: 55 is what percent of 230?

Percentage solution with steps:

Step 1: We make the assumption that 230 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\%}={230}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={230}(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{230}{55}

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

\frac{x\%}{100\%}=\frac{55}{230}

\Rightarrow{x} = {23.91\%}

Therefore, {55} is {23.91\%} of {230}.

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Solution for 230 is what percent of 55:

230:55*100 =

(230*100):55 =

23000:55 = 418.18

Now we have: 230 is what percent of 55 = 418.18

Question: 230 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\%}={230}.

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

{100\%}={55}(1).

{x\%}={230}(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}{230}

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

\frac{x\%}{100\%}=\frac{230}{55}

\Rightarrow{x} = {418.18\%}

Therefore, {230} is {418.18\%} of {55}.