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Solution for 118 is what percent of 1990:

118:1990*100 =

(118*100):1990 =

11800:1990 = 5.93

Now we have: 118 is what percent of 1990 = 5.93

Question: 118 is what percent of 1990?

Percentage solution with steps:

Step 1: We make the assumption that 1990 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\%}={1990}.

Step 4: In the same vein, {x\%}={118}.

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

{100\%}={1990}(1).

{x\%}={118}(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{1990}{118}

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

\frac{x\%}{100\%}=\frac{118}{1990}

\Rightarrow{x} = {5.93\%}

Therefore, {118} is {5.93\%} of {1990}.

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Solution for 1990 is what percent of 118:

1990:118*100 =

(1990*100):118 =

199000:118 = 1686.44

Now we have: 1990 is what percent of 118 = 1686.44

Question: 1990 is what percent of 118?

Percentage solution with steps:

Step 1: We make the assumption that 118 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\%}={118}.

Step 4: In the same vein, {x\%}={1990}.

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

{100\%}={118}(1).

{x\%}={1990}(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{118}{1990}

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

\frac{x\%}{100\%}=\frac{1990}{118}

\Rightarrow{x} = {1686.44\%}

Therefore, {1990} is {1686.44\%} of {118}.