#### Solution for 1 is what percent of 33:

1:33*100 =

(1*100):33 =

100:33 = 3.03

Now we have: 1 is what percent of 33 = 3.03

Question: 1 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 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}.

Step 4: In the same vein, {x\%}={1}.

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

{100\%}={33}(1).

{x\%}={1}(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}{1}

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

\frac{x\%}{100\%}=\frac{1}{33}

\Rightarrow{x} = {3.03\%}

Therefore, {1} is {3.03\%} of {33}.

#### Solution for 33 is what percent of 1:

33:1*100 =

(33*100):1 =

3300:1 = 3300

Now we have: 33 is what percent of 1 = 3300

Question: 33 is what percent of 1?

Percentage solution with steps:

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

Step 4: In the same vein, {x\%}={33}.

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

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

{x\%}={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{1}{33}

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

\frac{x\%}{100\%}=\frac{33}{1}

\Rightarrow{x} = {3300\%}

Therefore, {33} is {3300\%} of {1}.

Calculation Samples