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Solution for 52.0 is what percent of 33:

52.0:33*100 =

(52.0*100):33 =

5200:33 = 157.57575757576

Now we have: 52.0 is what percent of 33 = 157.57575757576

Question: 52.0 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\%}={52.0}.

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

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

{x\%}={52.0}(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}{52.0}

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

\frac{x\%}{100\%}=\frac{52.0}{33}

\Rightarrow{x} = {157.57575757576\%}

Therefore, {52.0} is {157.57575757576\%} of {33}.

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• 52.0 is what percent of 100 = 52

Solution for 33 is what percent of 52.0:

33:52.0*100 =

(33*100):52.0 =

3300:52.0 = 63.461538461538

Now we have: 33 is what percent of 52.0 = 63.461538461538

Question: 33 is what percent of 52.0?

Percentage solution with steps:

Step 1: We make the assumption that 52.0 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\%}={52.0}.

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

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

{100\%}={52.0}(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{52.0}{33}

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

\frac{x\%}{100\%}=\frac{33}{52.0}

\Rightarrow{x} = {63.461538461538\%}

Therefore, {33} is {63.461538461538\%} of {52.0}.