#### Solution for 2.40 is what percent of 1.60:

2.40:1.60*100 =

(2.40*100):1.60 =

240:1.60 = 150

Now we have: 2.40 is what percent of 1.60 = 150

Question: 2.40 is what percent of 1.60?

Percentage solution with steps:

Step 1: We make the assumption that 1.60 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\%}={1.60}.

Step 4: In the same vein, {x\%}={2.40}.

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

{100\%}={1.60}(1).

{x\%}={2.40}(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{1.60}{2.40}

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

\frac{x\%}{100\%}=\frac{2.40}{1.60}

\Rightarrow{x} = {150\%}

Therefore, {2.40} is {150\%} of {1.60}.

#### Solution for 1.60 is what percent of 2.40:

1.60:2.40*100 =

(1.60*100):2.40 =

160:2.40 = 66.666666666667

Now we have: 1.60 is what percent of 2.40 = 66.666666666667

Question: 1.60 is what percent of 2.40?

Percentage solution with steps:

Step 1: We make the assumption that 2.40 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\%}={2.40}.

Step 4: In the same vein, {x\%}={1.60}.

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

{100\%}={2.40}(1).

{x\%}={1.60}(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{2.40}{1.60}

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

\frac{x\%}{100\%}=\frac{1.60}{2.40}

\Rightarrow{x} = {66.666666666667\%}

Therefore, {1.60} is {66.666666666667\%} of {2.40}.

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