Solution for 8 is what percent of 37.5:

8:37.5*100 =

(8*100):37.5 =

800:37.5 = 21.333333333333

Now we have: 8 is what percent of 37.5 = 21.333333333333

Question: 8 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\%}={8}.

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

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

{x\%}={8}(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}{8}

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

\frac{x\%}{100\%}=\frac{8}{37.5}

\Rightarrow{x} = {21.333333333333\%}

Therefore, {8} is {21.333333333333\%} of {37.5}.

Solution for 37.5 is what percent of 8:

37.5:8*100 =

(37.5*100):8 =

3750:8 = 468.75

Now we have: 37.5 is what percent of 8 = 468.75

Question: 37.5 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 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\%}={8}.

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

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

{100\%}={8}(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{8}{37.5}

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

\frac{x\%}{100\%}=\frac{37.5}{8}

\Rightarrow{x} = {468.75\%}

Therefore, {37.5} is {468.75\%} of {8}.

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