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Solution for 120 is what percent of 200.:

120:200.*100 =

(120*100):200. =

12000:200. = 60

Now we have: 120 is what percent of 200. = 60

Question: 120 is what percent of 200.?

Percentage solution with steps:

Step 1: We make the assumption that 200. 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\%}={200.}.

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

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

{100\%}={200.}(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{200.}{120}

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

\frac{x\%}{100\%}=\frac{120}{200.}

\Rightarrow{x} = {60\%}

Therefore, {120} is {60\%} of {200.}.

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Solution for 200. is what percent of 120:

200.:120*100 =

(200.*100):120 =

20000:120 = 166.66666666667

Now we have: 200. is what percent of 120 = 166.66666666667

Question: 200. 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\%}={200.}.

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

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

{x\%}={200.}(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}{200.}

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

\frac{x\%}{100\%}=\frac{200.}{120}

\Rightarrow{x} = {166.66666666667\%}

Therefore, {200.} is {166.66666666667\%} of {120}.