#### Solution for 120 is what percent of 560:

120:560*100 =

(120*100):560 =

12000:560 = 21.43

Now we have: 120 is what percent of 560 = 21.43

Question: 120 is what percent of 560?

Percentage solution with steps:

Step 1: We make the assumption that 560 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\%}={560}.

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

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

{100\%}={560}(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{560}{120}

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

\frac{x\%}{100\%}=\frac{120}{560}

\Rightarrow{x} = {21.43\%}

Therefore, {120} is {21.43\%} of {560}.

#### Solution for 560 is what percent of 120:

560:120*100 =

(560*100):120 =

56000:120 = 466.67

Now we have: 560 is what percent of 120 = 466.67

Question: 560 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\%}={560}.

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

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

{x\%}={560}(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}{560}

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

\frac{x\%}{100\%}=\frac{560}{120}

\Rightarrow{x} = {466.67\%}

Therefore, {560} is {466.67\%} of {120}.

Calculation Samples