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Solution for 53 is what percent of 100:

53:100*100 =

(53*100):100 =

5300:100 = 53

Now we have: 53 is what percent of 100 = 53

Question: 53 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

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

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

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

\Rightarrow{x} = {53\%}

Therefore, {53} is {53\%} of {100}.

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Solution for 100 is what percent of 53:

100:53*100 =

(100*100):53 =

10000:53 = 188.68

Now we have: 100 is what percent of 53 = 188.68

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {188.68\%}

Therefore, {100} is {188.68\%} of {53}.