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Solution for 55.85 is what percent of 40:

55.85:40*100 =

(55.85*100):40 =

5585:40 = 139.625

Now we have: 55.85 is what percent of 40 = 139.625

Question: 55.85 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={55.85}.

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

{100\%}={40}(1).

{x\%}={55.85}(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{40}{55.85}

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

\frac{x\%}{100\%}=\frac{55.85}{40}

\Rightarrow{x} = {139.625\%}

Therefore, {55.85} is {139.625\%} of {40}.

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• 55.85 is what percent of 40 = 139.63
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• 55.85 is what percent of 100 = 55.85

Solution for 40 is what percent of 55.85:

40:55.85*100 =

(40*100):55.85 =

4000:55.85 = 71.620411817368

Now we have: 40 is what percent of 55.85 = 71.620411817368

Question: 40 is what percent of 55.85?

Percentage solution with steps:

Step 1: We make the assumption that 55.85 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\%}={55.85}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={55.85}(1).

{x\%}={40}(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{55.85}{40}

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

\frac{x\%}{100\%}=\frac{40}{55.85}

\Rightarrow{x} = {71.620411817368\%}

Therefore, {40} is {71.620411817368\%} of {55.85}.