860.46 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 860.46 of the output value, so we can write it down as x%=860.46.
5. Now we have two simple equations:
1) 100%=1378
2) x%=860.46
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%=1378/860.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 860.46 is what percent of 1378

100%/x%=1378/860.46
(100/x)*x=(1378/860.46)*x       - we multiply both sides of the equation by x
100=1.6014689817075*x       - we divide both sides of the equation by (1.6014689817075) to get x
100/1.6014689817075=x
62.44267053701=x
x=62.44267053701

now we have:
860.46 is 62.44267053701% of 1378