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Solution for 55 is what percent of 640:

55:640*100 =

(55*100):640 =

5500:640 = 8.59

Now we have: 55 is what percent of 640 = 8.59

Question: 55 is what percent of 640?

Percentage solution with steps:

Step 1: We make the assumption that 640 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\%}={640}.

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

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

{100\%}={640}(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{640}{55}

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

\frac{x\%}{100\%}=\frac{55}{640}

\Rightarrow{x} = {8.59\%}

Therefore, {55} is {8.59\%} of {640}.

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Solution for 640 is what percent of 55:

640:55*100 =

(640*100):55 =

64000:55 = 1163.64

Now we have: 640 is what percent of 55 = 1163.64

Question: 640 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\%}={640}.

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

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

{x\%}={640}(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}{640}

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

\frac{x\%}{100\%}=\frac{640}{55}

\Rightarrow{x} = {1163.64\%}

Therefore, {640} is {1163.64\%} of {55}.