85 is what percent of 4614 - 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 4614 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 4614, so we can write it down as 100%=4614.
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%=4614
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%=4614/85
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 4614

100%/x%=4614/85
(100/x)*x=(4614/85)*x       - we multiply both sides of the equation by x
100=54.282352941176*x       - we divide both sides of the equation by (54.282352941176) to get x
100/54.282352941176=x
1.8422193324664=x
x=1.8422193324664

now we have:
85 is 1.8422193324664% of 4614