90.2 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 90.2 of the output value, so we can write it down as x%=90.2.
5. Now we have two simple equations:
1) 100%=350
2) x%=90.2
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%=350/90.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.2 is what percent of 350

100%/x%=350/90.2
(100/x)*x=(350/90.2)*x       - we multiply both sides of the equation by x
100=3.880266075388*x       - we divide both sides of the equation by (3.880266075388) to get x
100/3.880266075388=x
25.771428571429=x
x=25.771428571429

now we have:
90.2 is 25.771428571429% of 350