85 is what percent of 6700 - 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 6700 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 6700, so we can write it down as 100%=6700.
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%=6700
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%=6700/85
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 6700

100%/x%=6700/85
(100/x)*x=(6700/85)*x       - we multiply both sides of the equation by x
100=78.823529411765*x       - we divide both sides of the equation by (78.823529411765) to get x
100/78.823529411765=x
1.2686567164179=x
x=1.2686567164179

now we have:
85 is 1.2686567164179% of 6700