#### Solution for 120 is what percent of 188:

120:188*100 =

(120*100):188 =

12000:188 = 63.83

Now we have: 120 is what percent of 188 = 63.83

Question: 120 is what percent of 188?

Percentage solution with steps:

Step 1: We make the assumption that 188 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\%}={188}.

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

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

{100\%}={188}(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{188}{120}

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

\frac{x\%}{100\%}=\frac{120}{188}

\Rightarrow{x} = {63.83\%}

Therefore, {120} is {63.83\%} of {188}.

#### Solution for 188 is what percent of 120:

188:120*100 =

(188*100):120 =

18800:120 = 156.67

Now we have: 188 is what percent of 120 = 156.67

Question: 188 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\%}={188}.

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

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

{x\%}={188}(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}{188}

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

\frac{x\%}{100\%}=\frac{188}{120}

\Rightarrow{x} = {156.67\%}

Therefore, {188} is {156.67\%} of {120}.

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