85 is what percent of 1682 - 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 1682 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 1682, so we can write it down as 100%=1682.
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%=1682
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%=1682/85
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 1682

100%/x%=1682/85
(100/x)*x=(1682/85)*x       - we multiply both sides of the equation by x
100=19.788235294118*x       - we divide both sides of the equation by (19.788235294118) to get x
100/19.788235294118=x
5.0535077288942=x
x=5.0535077288942

now we have:
85 is 5.0535077288942% of 1682