#### Solution for .9 is what percent of 1.50:

.9:1.50*100 =

(.9*100):1.50 =

90:1.50 = 60

Now we have: .9 is what percent of 1.50 = 60

Question: .9 is what percent of 1.50?

Percentage solution with steps:

Step 1: We make the assumption that 1.50 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\%}={1.50}.

Step 4: In the same vein, {x\%}={.9}.

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

{100\%}={1.50}(1).

{x\%}={.9}(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{1.50}{.9}

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

\frac{x\%}{100\%}=\frac{.9}{1.50}

\Rightarrow{x} = {60\%}

Therefore, {.9} is {60\%} of {1.50}.

#### Solution for 1.50 is what percent of .9:

1.50:.9*100 =

(1.50*100):.9 =

150:.9 = 166.66666666667

Now we have: 1.50 is what percent of .9 = 166.66666666667

Question: 1.50 is what percent of .9?

Percentage solution with steps:

Step 1: We make the assumption that .9 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\%}={.9}.

Step 4: In the same vein, {x\%}={1.50}.

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

{100\%}={.9}(1).

{x\%}={1.50}(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{.9}{1.50}

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

\frac{x\%}{100\%}=\frac{1.50}{.9}

\Rightarrow{x} = {166.66666666667\%}

Therefore, {1.50} is {166.66666666667\%} of {.9}.

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