#### Solution for 155 is what percent of 1645:

155:1645*100 =

(155*100):1645 =

15500:1645 = 9.42

Now we have: 155 is what percent of 1645 = 9.42

Question: 155 is what percent of 1645?

Percentage solution with steps:

Step 1: We make the assumption that 1645 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\%}={1645}.

Step 4: In the same vein, {x\%}={155}.

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

{100\%}={1645}(1).

{x\%}={155}(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{1645}{155}

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

\frac{x\%}{100\%}=\frac{155}{1645}

\Rightarrow{x} = {9.42\%}

Therefore, {155} is {9.42\%} of {1645}.

#### Solution for 1645 is what percent of 155:

1645:155*100 =

(1645*100):155 =

164500:155 = 1061.29

Now we have: 1645 is what percent of 155 = 1061.29

Question: 1645 is what percent of 155?

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

Step 4: In the same vein, {x\%}={1645}.

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

{100\%}={155}(1).

{x\%}={1645}(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{155}{1645}

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

\frac{x\%}{100\%}=\frac{1645}{155}

\Rightarrow{x} = {1061.29\%}

Therefore, {1645} is {1061.29\%} of {155}.

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