#### Solution for 655 is what percent of 656:

655:656*100 =

(655*100):656 =

65500:656 = 99.85

Now we have: 655 is what percent of 656 = 99.85

Question: 655 is what percent of 656?

Percentage solution with steps:

Step 1: We make the assumption that 656 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\%}={656}.

Step 4: In the same vein, {x\%}={655}.

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

{100\%}={656}(1).

{x\%}={655}(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{656}{655}

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

\frac{x\%}{100\%}=\frac{655}{656}

\Rightarrow{x} = {99.85\%}

Therefore, {655} is {99.85\%} of {656}.

#### Solution for 656 is what percent of 655:

656:655*100 =

(656*100):655 =

65600:655 = 100.15

Now we have: 656 is what percent of 655 = 100.15

Question: 656 is what percent of 655?

Percentage solution with steps:

Step 1: We make the assumption that 655 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\%}={655}.

Step 4: In the same vein, {x\%}={656}.

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

{100\%}={655}(1).

{x\%}={656}(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{655}{656}

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

\frac{x\%}{100\%}=\frac{656}{655}

\Rightarrow{x} = {100.15\%}

Therefore, {656} is {100.15\%} of {655}.

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