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Solution for 1000 is what percent of 3000:

1000:3000*100 =

(1000*100):3000 =

100000:3000 = 33.33

Now we have: 1000 is what percent of 3000 = 33.33

Question: 1000 is what percent of 3000?

Percentage solution with steps:

Step 1: We make the assumption that 3000 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\%}={3000}.

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

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

{100\%}={3000}(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{3000}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{3000}

\Rightarrow{x} = {33.33\%}

Therefore, {1000} is {33.33\%} of {3000}.

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Solution for 3000 is what percent of 1000:

3000:1000*100 =

(3000*100):1000 =

300000:1000 = 300

Now we have: 3000 is what percent of 1000 = 300

Question: 3000 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\%}={3000}.

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

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

{x\%}={3000}(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}{3000}

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

\frac{x\%}{100\%}=\frac{3000}{1000}

\Rightarrow{x} = {300\%}

Therefore, {3000} is {300\%} of {1000}.