Solution for 102.4 is what percent of 120:

102.4:120*100 =

(102.4*100):120 =

10240:120 = 85.333333333333

Now we have: 102.4 is what percent of 120 = 85.333333333333

Question: 102.4 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\%}={102.4}.

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

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

{x\%}={102.4}(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}{102.4}

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

\frac{x\%}{100\%}=\frac{102.4}{120}

\Rightarrow{x} = {85.333333333333\%}

Therefore, {102.4} is {85.333333333333\%} of {120}.

Solution for 120 is what percent of 102.4:

120:102.4*100 =

(120*100):102.4 =

12000:102.4 = 117.1875

Now we have: 120 is what percent of 102.4 = 117.1875

Question: 120 is what percent of 102.4?

Percentage solution with steps:

Step 1: We make the assumption that 102.4 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\%}={102.4}.

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

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

{100\%}={102.4}(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{102.4}{120}

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

\frac{x\%}{100\%}=\frac{120}{102.4}

\Rightarrow{x} = {117.1875\%}

Therefore, {120} is {117.1875\%} of {102.4}.

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