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Solution for 37.33 is what percent of 45:

37.33:45*100 =

(37.33*100):45 =

3733:45 = 82.955555555556

Now we have: 37.33 is what percent of 45 = 82.955555555556

Question: 37.33 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={37.33}.

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

{100\%}={45}(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{45}{37.33}

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

\frac{x\%}{100\%}=\frac{37.33}{45}

\Rightarrow{x} = {82.955555555556\%}

Therefore, {37.33} is {82.955555555556\%} of {45}.

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• 37.33 is what percent of 45 = 82.96
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• 37.33 is what percent of 100 = 37.33

Solution for 45 is what percent of 37.33:

45:37.33*100 =

(45*100):37.33 =

4500:37.33 = 120.54647736405

Now we have: 45 is what percent of 37.33 = 120.54647736405

Question: 45 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\%}={45}.

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

{100\%}={37.33}(1).

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{37.33}

\Rightarrow{x} = {120.54647736405\%}

Therefore, {45} is {120.54647736405\%} of {37.33}.