#### Solution for 85 is what percent of 5648:

85:5648*100 =

(85*100):5648 =

8500:5648 = 1.5

Now we have: 85 is what percent of 5648 = 1.5

Question: 85 is what percent of 5648?

Percentage solution with steps:

Step 1: We make the assumption that 5648 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\%}={5648}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={5648}(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{5648}{85}

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

\frac{x\%}{100\%}=\frac{85}{5648}

\Rightarrow{x} = {1.5\%}

Therefore, {85} is {1.5\%} of {5648}.

#### Solution for 5648 is what percent of 85:

5648:85*100 =

(5648*100):85 =

564800:85 = 6644.71

Now we have: 5648 is what percent of 85 = 6644.71

Question: 5648 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\%}={5648}.

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

{100\%}={85}(1).

{x\%}={5648}(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}{5648}

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

\frac{x\%}{100\%}=\frac{5648}{85}

\Rightarrow{x} = {6644.71\%}

Therefore, {5648} is {6644.71\%} of {85}.

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