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Solution for 158 is what percent of 208:

158:208*100 =

(158*100):208 =

15800:208 = 75.96

Now we have: 158 is what percent of 208 = 75.96

Question: 158 is what percent of 208?

Percentage solution with steps:

Step 1: We make the assumption that 208 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\%}={208}.

Step 4: In the same vein, {x\%}={158}.

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

{100\%}={208}(1).

{x\%}={158}(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{208}{158}

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

\frac{x\%}{100\%}=\frac{158}{208}

\Rightarrow{x} = {75.96\%}

Therefore, {158} is {75.96\%} of {208}.

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Solution for 208 is what percent of 158:

208:158*100 =

(208*100):158 =

20800:158 = 131.65

Now we have: 208 is what percent of 158 = 131.65

Question: 208 is what percent of 158?

Percentage solution with steps:

Step 1: We make the assumption that 158 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\%}={158}.

Step 4: In the same vein, {x\%}={208}.

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

{100\%}={158}(1).

{x\%}={208}(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{158}{208}

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

\frac{x\%}{100\%}=\frac{208}{158}

\Rightarrow{x} = {131.65\%}

Therefore, {208} is {131.65\%} of {158}.