#### Solution for 2555 is what percent of 1000:

2555:1000*100 =

(2555*100):1000 =

255500:1000 = 255.5

Now we have: 2555 is what percent of 1000 = 255.5

Question: 2555 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={1000}.

Step 4: In the same vein, {x\%}={2555}.

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

{100\%}={1000}(1).

{x\%}={2555}(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{1000}{2555}

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

\frac{x\%}{100\%}=\frac{2555}{1000}

\Rightarrow{x} = {255.5\%}

Therefore, {2555} is {255.5\%} of {1000}.

#### Solution for 1000 is what percent of 2555:

1000:2555*100 =

(1000*100):2555 =

100000:2555 = 39.14

Now we have: 1000 is what percent of 2555 = 39.14

Question: 1000 is what percent of 2555?

Percentage solution with steps:

Step 1: We make the assumption that 2555 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\%}={2555}.

Step 4: In the same vein, {x\%}={1000}.

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

{100\%}={2555}(1).

{x\%}={1000}(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{2555}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{2555}

\Rightarrow{x} = {39.14\%}

Therefore, {1000} is {39.14\%} of {2555}.

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