#### Solution for 33.33 is what percent of 1000:

33.33:1000*100 =

(33.33*100):1000 =

3333:1000 = 3.333

Now we have: 33.33 is what percent of 1000 = 3.333

Question: 33.33 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\%}={33.33}.

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

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

{x\%}={33.33}(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}{33.33}

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

\frac{x\%}{100\%}=\frac{33.33}{1000}

\Rightarrow{x} = {3.333\%}

Therefore, {33.33} is {3.333\%} of {1000}.

#### Solution for 1000 is what percent of 33.33:

1000:33.33*100 =

(1000*100):33.33 =

100000:33.33 = 3000.300030003

Now we have: 1000 is what percent of 33.33 = 3000.300030003

Question: 1000 is what percent of 33.33?

Percentage solution with steps:

Step 1: We make the assumption that 33.33 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\%}={33.33}.

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

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

{100\%}={33.33}(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{33.33}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{33.33}

\Rightarrow{x} = {3000.300030003\%}

Therefore, {1000} is {3000.300030003\%} of {33.33}.

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