#### Solution for .31 is what percent of .85:

.31:.85*100 =

(.31*100):.85 =

31:.85 = 36.47

Now we have: .31 is what percent of .85 = 36.47

Question: .31 is what percent of .85?

Percentage solution with steps:

Step 1: We make the assumption that .85 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\%}={.85}.

Step 4: In the same vein, {x\%}={.31}.

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

{100\%}={.85}(1).

{x\%}={.31}(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{.85}{.31}

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

\frac{x\%}{100\%}=\frac{.31}{.85}

\Rightarrow{x} = {36.47\%}

Therefore, {.31} is {36.47\%} of {.85}.

#### Solution for .85 is what percent of .31:

.85:.31*100 =

(.85*100):.31 =

85:.31 = 274.19

Now we have: .85 is what percent of .31 = 274.19

Question: .85 is what percent of .31?

Percentage solution with steps:

Step 1: We make the assumption that .31 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\%}={.31}.

Step 4: In the same vein, {x\%}={.85}.

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

{100\%}={.31}(1).

{x\%}={.85}(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{.31}{.85}

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

\frac{x\%}{100\%}=\frac{.85}{.31}

\Rightarrow{x} = {274.19\%}

Therefore, {.85} is {274.19\%} of {.31}.

Calculation Samples