#### Solution for 33 is what percent of 70:

33:70*100 =

( 33*100):70 =

3300:70 = 47.14

Now we have: 33 is what percent of 70 = 47.14

Question: 33 is what percent of 70?

Percentage solution with steps:

Step 1: We make the assumption that 70 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\%}={70}.

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

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

{100\%}={70}(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{70}{ 33}

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

\frac{x\%}{100\%}=\frac{ 33}{70}

\Rightarrow{x} = {47.14\%}

Therefore, { 33} is {47.14\%} of {70}.

#### Solution for 70 is what percent of 33:

70: 33*100 =

(70*100): 33 =

7000: 33 = 212.12

Now we have: 70 is what percent of 33 = 212.12

Question: 70 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\%}={70}.

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

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

{x\%}={70}(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}{70}

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

\frac{x\%}{100\%}=\frac{70}{ 33}

\Rightarrow{x} = {212.12\%}

Therefore, {70} is {212.12\%} of { 33}.

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