#### Solution for 210 is what percent of 120:

210:120*100 =

(210*100):120 =

21000:120 = 175

Now we have: 210 is what percent of 120 = 175

Question: 210 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\%}={210}.

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

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

{x\%}={210}(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}{210}

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

\frac{x\%}{100\%}=\frac{210}{120}

\Rightarrow{x} = {175\%}

Therefore, {210} is {175\%} of {120}.

#### Solution for 120 is what percent of 210:

120:210*100 =

(120*100):210 =

12000:210 = 57.14

Now we have: 120 is what percent of 210 = 57.14

Question: 120 is what percent of 210?

Percentage solution with steps:

Step 1: We make the assumption that 210 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\%}={210}.

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

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

{100\%}={210}(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{210}{120}

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

\frac{x\%}{100\%}=\frac{120}{210}

\Rightarrow{x} = {57.14\%}

Therefore, {120} is {57.14\%} of {210}.

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