#### Solution for 120 is what percent of 81:

120:81*100 =

(120*100):81 =

12000:81 = 148.15

Now we have: 120 is what percent of 81 = 148.15

Question: 120 is what percent of 81?

Percentage solution with steps:

Step 1: We make the assumption that 81 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\%}={81}.

Step 4: In the same vein, {x\%}={120}.

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

{100\%}={81}(1).

{x\%}={120}(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{81}{120}

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

\frac{x\%}{100\%}=\frac{120}{81}

\Rightarrow{x} = {148.15\%}

Therefore, {120} is {148.15\%} of {81}.

#### Solution for 81 is what percent of 120:

81:120*100 =

(81*100):120 =

8100:120 = 67.5

Now we have: 81 is what percent of 120 = 67.5

Question: 81 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

Step 4: In the same vein, {x\%}={81}.

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

{100\%}={120}(1).

{x\%}={81}(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{120}{81}

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

\frac{x\%}{100\%}=\frac{81}{120}

\Rightarrow{x} = {67.5\%}

Therefore, {81} is {67.5\%} of {120}.

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