#### Solution for 120 is what percent of 520:

120:520*100 =

(120*100):520 =

12000:520 = 23.08

Now we have: 120 is what percent of 520 = 23.08

Question: 120 is what percent of 520?

Percentage solution with steps:

Step 1: We make the assumption that 520 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\%}={520}.

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

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

{100\%}={520}(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{520}{120}

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

\frac{x\%}{100\%}=\frac{120}{520}

\Rightarrow{x} = {23.08\%}

Therefore, {120} is {23.08\%} of {520}.

#### Solution for 520 is what percent of 120:

520:120*100 =

(520*100):120 =

52000:120 = 433.33

Now we have: 520 is what percent of 120 = 433.33

Question: 520 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\%}={520}.

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

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

{x\%}={520}(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}{520}

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

\frac{x\%}{100\%}=\frac{520}{120}

\Rightarrow{x} = {433.33\%}

Therefore, {520} is {433.33\%} of {120}.

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