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Solution for 40 is what percent of 2555:

40:2555*100 =

(40*100):2555 =

4000:2555 = 1.57

Now we have: 40 is what percent of 2555 = 1.57

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{2555}

\Rightarrow{x} = {1.57\%}

Therefore, {40} is {1.57\%} of {2555}.

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Solution for 2555 is what percent of 40:

2555:40*100 =

(2555*100):40 =

255500:40 = 6387.5

Now we have: 2555 is what percent of 40 = 6387.5

Question: 2555 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{2555}

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

\frac{x\%}{100\%}=\frac{2555}{40}

\Rightarrow{x} = {6387.5\%}

Therefore, {2555} is {6387.5\%} of {40}.