#### Solution for 120 is what percent of 522:

120:522*100 =

(120*100):522 =

12000:522 = 22.99

Now we have: 120 is what percent of 522 = 22.99

Question: 120 is what percent of 522?

Percentage solution with steps:

Step 1: We make the assumption that 522 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\%}={522}.

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

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

{100\%}={522}(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{522}{120}

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

\frac{x\%}{100\%}=\frac{120}{522}

\Rightarrow{x} = {22.99\%}

Therefore, {120} is {22.99\%} of {522}.

#### Solution for 522 is what percent of 120:

522:120*100 =

(522*100):120 =

52200:120 = 435

Now we have: 522 is what percent of 120 = 435

Question: 522 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\%}={522}.

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

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

{x\%}={522}(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}{522}

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

\frac{x\%}{100\%}=\frac{522}{120}

\Rightarrow{x} = {435\%}

Therefore, {522} is {435\%} of {120}.

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