298.2 is what percent of 335 - 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 335 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 335, so we can write it down as 100%=335.
4. We know, that x% equals 298.2 of the output value, so we can write it down as x%=298.2.
5. Now we have two simple equations:
1) 100%=335
2) x%=298.2
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%=335/298.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.2 is what percent of 335

100%/x%=335/298.2
(100/x)*x=(335/298.2)*x       - we multiply both sides of the equation by x
100=1.1234071093226*x       - we divide both sides of the equation by (1.1234071093226) to get x
100/1.1234071093226=x
89.014925373134=x
x=89.014925373134

now we have:
298.2 is 89.014925373134% of 335