85 is what percent of 498 - 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 498 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 498, so we can write it down as 100%=498.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=498
2) x%=85
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%=498/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 498

100%/x%=498/85
(100/x)*x=(498/85)*x       - we multiply both sides of the equation by x
100=5.8588235294118*x       - we divide both sides of the equation by (5.8588235294118) to get x
100/5.8588235294118=x
17.068273092369=x
x=17.068273092369

now we have:
85 is 17.068273092369% of 498