Solution for 10 is what percent of 33:

10: 33*100 =

(10*100): 33 =

1000: 33 = 30.3

Now we have: 10 is what percent of 33 = 30.3

Question: 10 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\%}={10}.

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

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

{x\%}={10}(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}{10}

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

\frac{x\%}{100\%}=\frac{10}{ 33}

\Rightarrow{x} = {30.3\%}

Therefore, {10} is {30.3\%} of { 33}.

Solution for 33 is what percent of 10:

33:10*100 =

( 33*100):10 =

3300:10 = 330

Now we have: 33 is what percent of 10 = 330

Question: 33 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

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

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

{100\%}={10}(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{10}{ 33}

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

\frac{x\%}{100\%}=\frac{ 33}{10}

\Rightarrow{x} = {330\%}

Therefore, { 33} is {330\%} of {10}.