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Solution for 53 is what percent of 10:

53:10*100 =

(53*100):10 =

5300:10 = 530

Now we have: 53 is what percent of 10 = 530

Question: 53 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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}.

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

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

{100\%}={10}(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}{53}

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

\frac{x\%}{100\%}=\frac{53}{10}

\Rightarrow{x} = {530\%}

Therefore, {53} is {530\%} of {10}.

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Solution for 10 is what percent of 53:

10:53*100 =

(10*100):53 =

1000:53 = 18.87

Now we have: 10 is what percent of 53 = 18.87

Question: 10 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}.

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

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

{x\%}={10}(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}

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

\frac{x\%}{100\%}=\frac{10}{53}

\Rightarrow{x} = {18.87\%}

Therefore, {10} is {18.87\%} of {53}.