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Solution for 5300 is what percent of 66:

5300:66*100 =

(5300*100):66 =

530000:66 = 8030.3

Now we have: 5300 is what percent of 66 = 8030.3

Question: 5300 is what percent of 66?

Percentage solution with steps:

Step 1: We make the assumption that 66 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\%}={66}.

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

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

{100\%}={66}(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{66}{5300}

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

\frac{x\%}{100\%}=\frac{5300}{66}

\Rightarrow{x} = {8030.3\%}

Therefore, {5300} is {8030.3\%} of {66}.

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Solution for 66 is what percent of 5300:

66:5300*100 =

(66*100):5300 =

6600:5300 = 1.25

Now we have: 66 is what percent of 5300 = 1.25

Question: 66 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\%}={66}.

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

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

{x\%}={66}(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}{66}

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

\frac{x\%}{100\%}=\frac{66}{5300}

\Rightarrow{x} = {1.25\%}

Therefore, {66} is {1.25\%} of {5300}.