85.86 is what percent of 496.98 - 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 496.98 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 496.98, so we can write it down as 100%=496.98.
4. We know, that x% equals 85.86 of the output value, so we can write it down as x%=85.86.
5. Now we have two simple equations:
1) 100%=496.98
2) x%=85.86
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%=496.98/85.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.86 is what percent of 496.98

100%/x%=496.98/85.86
(100/x)*x=(496.98/85.86)*x       - we multiply both sides of the equation by x
100=5.7882599580713*x       - we divide both sides of the equation by (5.7882599580713) to get x
100/5.7882599580713=x
17.276349148859=x
x=17.276349148859

now we have:
85.86 is 17.276349148859% of 496.98