85 is what percent of 1378 - 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 1378 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 1378, so we can write it down as 100%=1378.
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%=1378
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%=1378/85
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 1378

100%/x%=1378/85
(100/x)*x=(1378/85)*x       - we multiply both sides of the equation by x
100=16.211764705882*x       - we divide both sides of the equation by (16.211764705882) to get x
100/16.211764705882=x
6.1683599419448=x
x=6.1683599419448

now we have:
85 is 6.1683599419448% of 1378