#### Solution for 101.2 is what percent of 138:

101.2:138*100 =

(101.2*100):138 =

10120:138 = 73.333333333333

Now we have: 101.2 is what percent of 138 = 73.333333333333

Question: 101.2 is what percent of 138?

Percentage solution with steps:

Step 1: We make the assumption that 138 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\%}={138}.

Step 4: In the same vein, {x\%}={101.2}.

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

{100\%}={138}(1).

{x\%}={101.2}(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{138}{101.2}

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

\frac{x\%}{100\%}=\frac{101.2}{138}

\Rightarrow{x} = {73.333333333333\%}

Therefore, {101.2} is {73.333333333333\%} of {138}.

#### Solution for 138 is what percent of 101.2:

138:101.2*100 =

(138*100):101.2 =

13800:101.2 = 136.36363636364

Now we have: 138 is what percent of 101.2 = 136.36363636364

Question: 138 is what percent of 101.2?

Percentage solution with steps:

Step 1: We make the assumption that 101.2 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\%}={101.2}.

Step 4: In the same vein, {x\%}={138}.

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

{100\%}={101.2}(1).

{x\%}={138}(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{101.2}{138}

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

\frac{x\%}{100\%}=\frac{138}{101.2}

\Rightarrow{x} = {136.36363636364\%}

Therefore, {138} is {136.36363636364\%} of {101.2}.

Calculation Samples