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Solution for 120 is what percent of 18:

120:18*100 =

(120*100):18 =

12000:18 = 666.67

Now we have: 120 is what percent of 18 = 666.67

Question: 120 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 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\%}={18}.

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

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

{100\%}={18}(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{18}{120}

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

\frac{x\%}{100\%}=\frac{120}{18}

\Rightarrow{x} = {666.67\%}

Therefore, {120} is {666.67\%} of {18}.

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Solution for 18 is what percent of 120:

18:120*100 =

(18*100):120 =

1800:120 = 15

Now we have: 18 is what percent of 120 = 15

Question: 18 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\%}={18}.

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

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

{x\%}={18}(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}{18}

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

\frac{x\%}{100\%}=\frac{18}{120}

\Rightarrow{x} = {15\%}

Therefore, {18} is {15\%} of {120}.