#### Solution for 1952 is what percent of 120:

1952:120*100 =

(1952*100):120 =

195200:120 = 1626.67

Now we have: 1952 is what percent of 120 = 1626.67

Question: 1952 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\%}={1952}.

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

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

{x\%}={1952}(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}{1952}

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

\frac{x\%}{100\%}=\frac{1952}{120}

\Rightarrow{x} = {1626.67\%}

Therefore, {1952} is {1626.67\%} of {120}.

#### Solution for 120 is what percent of 1952:

120:1952*100 =

(120*100):1952 =

12000:1952 = 6.15

Now we have: 120 is what percent of 1952 = 6.15

Question: 120 is what percent of 1952?

Percentage solution with steps:

Step 1: We make the assumption that 1952 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\%}={1952}.

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

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

{100\%}={1952}(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{1952}{120}

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

\frac{x\%}{100\%}=\frac{120}{1952}

\Rightarrow{x} = {6.15\%}

Therefore, {120} is {6.15\%} of {1952}.

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