286.48 is what percent of 350 - 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 350 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 100% equals 350, so we can write it down as 100%=350.
4. We know, that x% equals 286.48 of the output value, so we can write it down as x%=286.48.
5. Now we have two simple equations:
1) 100%=350
2) x%=286.48
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:
100%/x%=350/286.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 286.48 is what percent of 350

100%/x%=350/286.48
(100/x)*x=(350/286.48)*x       - we multiply both sides of the equation by x
100=1.2217257749232*x       - we divide both sides of the equation by (1.2217257749232) to get x
100/1.2217257749232=x
81.851428571429=x
x=81.851428571429

now we have:
286.48 is 81.851428571429% of 350