What is 127.85 percent of 297.25 - step by step solution

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

1. We assume, that the number 297.25 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 297.25 is 100%, so we can write it down as 297.25=100%.
4. We know, that x is 127.85% of the output value, so we can write it down as x=127.85%.
5. Now we have two simple equations:
1) 297.25=100%
2) x=127.85%
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:
297.25/x=100%/127.85%
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 127.85% of 297.25

297.25/x=100/127.85
(297.25/x)*x=(100/127.85)*x       - we multiply both sides of the equation by x
297.25=0.78216660148612*x       - we divide both sides of the equation by (0.78216660148612) to get x
297.25/0.78216660148612=x
380.034125=x
x=380.034125

now we have:
127.85% of 297.25=380.034125