302.1 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 302.1 of the output value, so we can write it down as x%=302.1.
5. Now we have two simple equations:
1) 100%=350
2) x%=302.1
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%=350/302.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 302.1 is what percent of 350

100%/x%=350/302.1
(100/x)*x=(350/302.1)*x       - we multiply both sides of the equation by x
100=1.1585567692817*x       - we divide both sides of the equation by (1.1585567692817) to get x
100/1.1585567692817=x
86.314285714286=x
x=86.314285714286

now we have:
302.1 is 86.314285714286% of 350