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Solution for .10 is what percent of 53:

.10:53*100 =

(.10*100):53 =

10:53 = 0.19

Now we have: .10 is what percent of 53 = 0.19

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} = {0.19\%}

Therefore, {.10} is {0.19\%} of {53}.

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• .10 is what percent of 100 = 0.1

Solution for 53 is what percent of .10:

53:.10*100 =

(53*100):.10 =

5300:.10 = 53000

Now we have: 53 is what percent of .10 = 53000

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} = {53000\%}

Therefore, {53} is {53000\%} of {.10}.