#### Solution for 298 is what percent of 200:

298:200*100 =

(298*100):200 =

29800:200 = 149

Now we have: 298 is what percent of 200 = 149

Question: 298 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

Step 4: In the same vein, {x\%}={298}.

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

{100\%}={200}(1).

{x\%}={298}(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{200}{298}

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

\frac{x\%}{100\%}=\frac{298}{200}

\Rightarrow{x} = {149\%}

Therefore, {298} is {149\%} of {200}.

#### Solution for 200 is what percent of 298:

200:298*100 =

(200*100):298 =

20000:298 = 67.11

Now we have: 200 is what percent of 298 = 67.11

Question: 200 is what percent of 298?

Percentage solution with steps:

Step 1: We make the assumption that 298 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\%}={298}.

Step 4: In the same vein, {x\%}={200}.

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

{100\%}={298}(1).

{x\%}={200}(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{298}{200}

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

\frac{x\%}{100\%}=\frac{200}{298}

\Rightarrow{x} = {67.11\%}

Therefore, {200} is {67.11\%} of {298}.

Calculation Samples