#### Solution for 37.5 is what percent of 360:

37.5:360*100 =

(37.5*100):360 =

3750:360 = 10.416666666667

Now we have: 37.5 is what percent of 360 = 10.416666666667

Question: 37.5 is what percent of 360?

Percentage solution with steps:

Step 1: We make the assumption that 360 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\%}={360}.

Step 4: In the same vein, {x\%}={37.5}.

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

{100\%}={360}(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{360}{37.5}

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

\frac{x\%}{100\%}=\frac{37.5}{360}

\Rightarrow{x} = {10.416666666667\%}

Therefore, {37.5} is {10.416666666667\%} of {360}.

#### Solution for 360 is what percent of 37.5:

360:37.5*100 =

(360*100):37.5 =

36000:37.5 = 960

Now we have: 360 is what percent of 37.5 = 960

Question: 360 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\%}={360}.

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

{100\%}={37.5}(1).

{x\%}={360}(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}{360}

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

\frac{x\%}{100\%}=\frac{360}{37.5}

\Rightarrow{x} = {960\%}

Therefore, {360} is {960\%} of {37.5}.

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