857.42 is what percent of 1001.62 - 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 1001.62 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 1001.62, so we can write it down as 100%=1001.62.
4. We know, that x% equals 857.42 of the output value, so we can write it down as x%=857.42.
5. Now we have two simple equations:
1) 100%=1001.62
2) x%=857.42
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%=1001.62/857.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 857.42 is what percent of 1001.62

100%/x%=1001.62/857.42
(100/x)*x=(1001.62/857.42)*x       - we multiply both sides of the equation by x
100=1.1681789554711*x       - we divide both sides of the equation by (1.1681789554711) to get x
100/1.1681789554711=x
85.60332261736=x
x=85.60332261736

now we have:
857.42 is 85.60332261736% of 1001.62