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Solution for 418 is what percent of 55:

418:55*100 =

(418*100):55 =

41800:55 = 760

Now we have: 418 is what percent of 55 = 760

Question: 418 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\%}={418}.

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

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

{x\%}={418}(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}{418}

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

\frac{x\%}{100\%}=\frac{418}{55}

\Rightarrow{x} = {760\%}

Therefore, {418} is {760\%} of {55}.

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Solution for 55 is what percent of 418:

55:418*100 =

(55*100):418 =

5500:418 = 13.16

Now we have: 55 is what percent of 418 = 13.16

Question: 55 is what percent of 418?

Percentage solution with steps:

Step 1: We make the assumption that 418 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\%}={418}.

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

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

{100\%}={418}(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{418}{55}

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

\frac{x\%}{100\%}=\frac{55}{418}

\Rightarrow{x} = {13.16\%}

Therefore, {55} is {13.16\%} of {418}.