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Solution for 37.5 is what percent of 45:

37.5:45*100 =

(37.5*100):45 =

3750:45 = 83.333333333333

Now we have: 37.5 is what percent of 45 = 83.333333333333

Question: 37.5 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\%}={37.5}.

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

{100\%}={45}(1).

{x\%}={37.5}(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}{37.5}

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

\frac{x\%}{100\%}=\frac{37.5}{45}

\Rightarrow{x} = {83.333333333333\%}

Therefore, {37.5} is {83.333333333333\%} of {45}.

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Solution for 45 is what percent of 37.5:

45:37.5*100 =

(45*100):37.5 =

4500:37.5 = 120

Now we have: 45 is what percent of 37.5 = 120

Question: 45 is what percent of 37.5?

Percentage solution with steps:

Step 1: We make the assumption that 37.5 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\%}={37.5}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={37.5}(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{37.5}{45}

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

\frac{x\%}{100\%}=\frac{45}{37.5}

\Rightarrow{x} = {120\%}

Therefore, {45} is {120\%} of {37.5}.