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Solution for 37.33 is what percent of 40:

37.33:40*100 =

(37.33*100):40 =

3733:40 = 93.325

Now we have: 37.33 is what percent of 40 = 93.325

Question: 37.33 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\%}={37.33}.

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

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

{x\%}={37.33}(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}{37.33}

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

\frac{x\%}{100\%}=\frac{37.33}{40}

\Rightarrow{x} = {93.325\%}

Therefore, {37.33} is {93.325\%} of {40}.

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• 37.33 is what percent of 40 = 93.33
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• 37.33 is what percent of 100 = 37.33

Solution for 40 is what percent of 37.33:

40:37.33*100 =

(40*100):37.33 =

4000:37.33 = 107.1524243236

Now we have: 40 is what percent of 37.33 = 107.1524243236

Question: 40 is what percent of 37.33?

Percentage solution with steps:

Step 1: We make the assumption that 37.33 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\%}={37.33}.

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

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

{100\%}={37.33}(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{37.33}{40}

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

\frac{x\%}{100\%}=\frac{40}{37.33}

\Rightarrow{x} = {107.1524243236\%}

Therefore, {40} is {107.1524243236\%} of {37.33}.