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Solution for 10.00 is what percent of 53:

10.00:53*100 =

(10.00*100):53 =

1000:53 = 18.867924528302

Now we have: 10.00 is what percent of 53 = 18.867924528302

Question: 10.00 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\%}={10.00}.

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

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

{x\%}={10.00}(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}{10.00}

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

\frac{x\%}{100\%}=\frac{10.00}{53}

\Rightarrow{x} = {18.867924528302\%}

Therefore, {10.00} is {18.867924528302\%} of {53}.

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Solution for 53 is what percent of 10.00:

53:10.00*100 =

(53*100):10.00 =

5300:10.00 = 530

Now we have: 53 is what percent of 10.00 = 530

Question: 53 is what percent of 10.00?

Percentage solution with steps:

Step 1: We make the assumption that 10.00 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\%}={10.00}.

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

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

{100\%}={10.00}(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{10.00}{53}

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

\frac{x\%}{100\%}=\frac{53}{10.00}

\Rightarrow{x} = {530\%}

Therefore, {53} is {530\%} of {10.00}.