#### Solution for 1000 is what percent of 2750:

1000:2750*100 =

(1000*100):2750 =

100000:2750 = 36.36

Now we have: 1000 is what percent of 2750 = 36.36

Question: 1000 is what percent of 2750?

Percentage solution with steps:

Step 1: We make the assumption that 2750 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\%}={2750}.

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

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

{100\%}={2750}(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{2750}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{2750}

\Rightarrow{x} = {36.36\%}

Therefore, {1000} is {36.36\%} of {2750}.

#### Solution for 2750 is what percent of 1000:

2750:1000*100 =

(2750*100):1000 =

275000:1000 = 275

Now we have: 2750 is what percent of 1000 = 275

Question: 2750 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\%}={2750}.

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

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

{x\%}={2750}(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}{2750}

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

\frac{x\%}{100\%}=\frac{2750}{1000}

\Rightarrow{x} = {275\%}

Therefore, {2750} is {275\%} of {1000}.

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