#### Solution for 37.80 is what percent of 60:

37.80:60*100 =

(37.80*100):60 =

3780:60 = 63

Now we have: 37.80 is what percent of 60 = 63

Question: 37.80 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 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\%}={60}.

Step 4: In the same vein, {x\%}={37.80}.

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

{100\%}={60}(1).

{x\%}={37.80}(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{60}{37.80}

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

\frac{x\%}{100\%}=\frac{37.80}{60}

\Rightarrow{x} = {63\%}

Therefore, {37.80} is {63\%} of {60}.

#### Solution for 60 is what percent of 37.80:

60:37.80*100 =

(60*100):37.80 =

6000:37.80 = 158.73015873016

Now we have: 60 is what percent of 37.80 = 158.73015873016

Question: 60 is what percent of 37.80?

Percentage solution with steps:

Step 1: We make the assumption that 37.80 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\%}={37.80}.

Step 4: In the same vein, {x\%}={60}.

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

{100\%}={37.80}(1).

{x\%}={60}(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{37.80}{60}

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

\frac{x\%}{100\%}=\frac{60}{37.80}

\Rightarrow{x} = {158.73015873016\%}

Therefore, {60} is {158.73015873016\%} of {37.80}.

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