285.86 is what percent of 335.45 - 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 335.45 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 335.45, so we can write it down as 100%=335.45.
4. We know, that x% equals 285.86 of the output value, so we can write it down as x%=285.86.
5. Now we have two simple equations:
1) 100%=335.45
2) x%=285.86
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%=335.45/285.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.86 is what percent of 335.45

100%/x%=335.45/285.86
(100/x)*x=(335.45/285.86)*x       - we multiply both sides of the equation by x
100=1.1734765269712*x       - we divide both sides of the equation by (1.1734765269712) to get x
100/1.1734765269712=x
85.216872857356=x
x=85.216872857356

now we have:
285.86 is 85.216872857356% of 335.45