Solution for 2.50 is what percent of 1000:

2.50:1000*100 =

(2.50*100):1000 =

250:1000 = 0.25

Now we have: 2.50 is what percent of 1000 = 0.25

Question: 2.50 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\%}={2.50}.

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

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

{x\%}={2.50}(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}{2.50}

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

\frac{x\%}{100\%}=\frac{2.50}{1000}

\Rightarrow{x} = {0.25\%}

Therefore, {2.50} is {0.25\%} of {1000}.

Solution for 1000 is what percent of 2.50:

1000:2.50*100 =

(1000*100):2.50 =

100000:2.50 = 40000

Now we have: 1000 is what percent of 2.50 = 40000

Question: 1000 is what percent of 2.50?

Percentage solution with steps:

Step 1: We make the assumption that 2.50 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\%}={2.50}.

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

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

{100\%}={2.50}(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{2.50}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{2.50}

\Rightarrow{x} = {40000\%}

Therefore, {1000} is {40000\%} of {2.50}.