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Solution for 53 is what percent of 85:

53:85*100 =

(53*100):85 =

5300:85 = 62.35

Now we have: 53 is what percent of 85 = 62.35

Question: 53 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

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

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

{100\%}={85}(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{85}{53}

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

\frac{x\%}{100\%}=\frac{53}{85}

\Rightarrow{x} = {62.35\%}

Therefore, {53} is {62.35\%} of {85}.

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Solution for 85 is what percent of 53:

85:53*100 =

(85*100):53 =

8500:53 = 160.38

Now we have: 85 is what percent of 53 = 160.38

Question: 85 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\%}={85}.

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

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

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{53}

\Rightarrow{x} = {160.38\%}

Therefore, {85} is {160.38\%} of {53}.