Question

204.6 is what percent of 125? Round to the nearest tenth.

Answer 1

Answer:

255.8

Explanation:

To get the solution, you are looking for, you need to point out what we know.

1. We assume, that the number 125 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 125 is 100%, so we can write it down as 125=100%.

4. We know, that x is 204.6% of the output value, so we can write it down as x=204.6%.

5. Now we have two simple equations:

1) 125=100%

2) x=204.6%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

125/x=100%/204.6%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 204.6% of 125

125/x=100/204.6

(125/x)*x=(100/204.6)*x       - we multiply both sides of the equation by x

125=0.48875855327468*x       - we divide both sides of the equation by (0.48875855327468) to get x

125/0.48875855327468=x

255.75=x

x=255.75

now you  have:

204.6% of 125=255.75

If you round 255.75  to the nearest tenth, it would be 255.8 because rounding to the nearest tenth the number will be  7 because 7 is in the tenth place in 255.75, so you would round up because  anything about the number 5 you will round up and anything below 5 you round down and  when you round up you will get 255.8 which is your answer.

Hope this helps :)