Percentage Calculator


           

3.3 is what percent of 20?

Solution for 3.3 is what percent of 20:

3.3:20*100 =

(3.3*100):20 =

330:20 = 16.5

Now we have: 3.3 is what percent of 20 = 16.5

Question: 3.3 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={3.3}.

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

{100\%}={20}(1).

{x\%}={3.3}(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{20}{3.3}

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

\frac{x\%}{100\%}=\frac{3.3}{20}

\Rightarrow{x} = {16.5\%}

Therefore, {3.3} is {16.5\%} of {20}.

Solution for 20 is what percent of 3.3:

20:3.3*100 =

(20*100):3.3 =

2000:3.3 = 606.06060606061

Now we have: 20 is what percent of 3.3 = 606.06060606061

Question: 20 is what percent of 3.3?

Percentage solution with steps:

Step 1: We make the assumption that 3.3 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\%}={3.3}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={3.3}(1).

{x\%}={20}(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{3.3}{20}

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

\frac{x\%}{100\%}=\frac{20}{3.3}

\Rightarrow{x} = {606.06060606061\%}

Therefore, {20} is {606.06060606061\%} of {3.3}.

Calculation Samples