#### Solution for 37.8 is what percent of 63:

37.8:63*100 =

(37.8*100):63 =

3780:63 = 60

Now we have: 37.8 is what percent of 63 = 60

Question: 37.8 is what percent of 63?

Percentage solution with steps:

Step 1: We make the assumption that 63 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\%}={63}.

Step 4: In the same vein, {x\%}={37.8}.

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

{100\%}={63}(1).

{x\%}={37.8}(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{63}{37.8}

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

\frac{x\%}{100\%}=\frac{37.8}{63}

\Rightarrow{x} = {60\%}

Therefore, {37.8} is {60\%} of {63}.

#### Solution for 63 is what percent of 37.8:

63:37.8*100 =

(63*100):37.8 =

6300:37.8 = 166.66666666667

Now we have: 63 is what percent of 37.8 = 166.66666666667

Question: 63 is what percent of 37.8?

Percentage solution with steps:

Step 1: We make the assumption that 37.8 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\%}={37.8}.

Step 4: In the same vein, {x\%}={63}.

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

{100\%}={37.8}(1).

{x\%}={63}(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{37.8}{63}

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

\frac{x\%}{100\%}=\frac{63}{37.8}

\Rightarrow{x} = {166.66666666667\%}

Therefore, {63} is {166.66666666667\%} of {37.8}.

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