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Solution for 120 is what percent of 316:

120:316*100 =

(120*100):316 =

12000:316 = 37.97

Now we have: 120 is what percent of 316 = 37.97

Question: 120 is what percent of 316?

Percentage solution with steps:

Step 1: We make the assumption that 316 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\%}={316}.

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

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

{100\%}={316}(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{316}{120}

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

\frac{x\%}{100\%}=\frac{120}{316}

\Rightarrow{x} = {37.97\%}

Therefore, {120} is {37.97\%} of {316}.

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Solution for 316 is what percent of 120:

316:120*100 =

(316*100):120 =

31600:120 = 263.33

Now we have: 316 is what percent of 120 = 263.33

Question: 316 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\%}={316}.

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

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

{x\%}={316}(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}{316}

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

\frac{x\%}{100\%}=\frac{316}{120}

\Rightarrow{x} = {263.33\%}

Therefore, {316} is {263.33\%} of {120}.