#### Solution for 633 is what percent of 5300:

633:5300*100 =

(633*100):5300 =

63300:5300 = 11.94

Now we have: 633 is what percent of 5300 = 11.94

Question: 633 is what percent of 5300?

Percentage solution with steps:

Step 1: We make the assumption that 5300 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\%}={5300}.

Step 4: In the same vein, {x\%}={633}.

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

{100\%}={5300}(1).

{x\%}={633}(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{5300}{633}

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

\frac{x\%}{100\%}=\frac{633}{5300}

\Rightarrow{x} = {11.94\%}

Therefore, {633} is {11.94\%} of {5300}.

#### Solution for 5300 is what percent of 633:

5300:633*100 =

(5300*100):633 =

530000:633 = 837.28

Now we have: 5300 is what percent of 633 = 837.28

Question: 5300 is what percent of 633?

Percentage solution with steps:

Step 1: We make the assumption that 633 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\%}={633}.

Step 4: In the same vein, {x\%}={5300}.

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

{100\%}={633}(1).

{x\%}={5300}(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{633}{5300}

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

\frac{x\%}{100\%}=\frac{5300}{633}

\Rightarrow{x} = {837.28\%}

Therefore, {5300} is {837.28\%} of {633}.

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