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Solution for 513 is what percent of 33:

513:33*100 =

(513*100):33 =

51300:33 = 1554.55

Now we have: 513 is what percent of 33 = 1554.55

Question: 513 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\%}={513}.

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

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

{x\%}={513}(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}{513}

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

\frac{x\%}{100\%}=\frac{513}{33}

\Rightarrow{x} = {1554.55\%}

Therefore, {513} is {1554.55\%} of {33}.

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Solution for 33 is what percent of 513:

33:513*100 =

(33*100):513 =

3300:513 = 6.43

Now we have: 33 is what percent of 513 = 6.43

Question: 33 is what percent of 513?

Percentage solution with steps:

Step 1: We make the assumption that 513 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\%}={513}.

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

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

{100\%}={513}(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{513}{33}

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

\frac{x\%}{100\%}=\frac{33}{513}

\Rightarrow{x} = {6.43\%}

Therefore, {33} is {6.43\%} of {513}.