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Solution for 53 is what percent of 1002:

53:1002*100 =

(53*100):1002 =

5300:1002 = 5.29

Now we have: 53 is what percent of 1002 = 5.29

Question: 53 is what percent of 1002?

Percentage solution with steps:

Step 1: We make the assumption that 1002 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\%}={1002}.

Step 4: In the same vein, {x\%}={53}.

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

{100\%}={1002}(1).

{x\%}={53}(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{1002}{53}

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

\frac{x\%}{100\%}=\frac{53}{1002}

\Rightarrow{x} = {5.29\%}

Therefore, {53} is {5.29\%} of {1002}.

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Solution for 1002 is what percent of 53:

1002:53*100 =

(1002*100):53 =

100200:53 = 1890.57

Now we have: 1002 is what percent of 53 = 1890.57

Question: 1002 is what percent of 53?

Percentage solution with steps:

Step 1: We make the assumption that 53 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\%}={53}.

Step 4: In the same vein, {x\%}={1002}.

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

{100\%}={53}(1).

{x\%}={1002}(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{53}{1002}

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

\frac{x\%}{100\%}=\frac{1002}{53}

\Rightarrow{x} = {1890.57\%}

Therefore, {1002} is {1890.57\%} of {53}.