850.2 is what percent of 1562 - 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 1562 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 1562, so we can write it down as 100%=1562.
4. We know, that x% equals 850.2 of the output value, so we can write it down as x%=850.2.
5. Now we have two simple equations:
1) 100%=1562
2) x%=850.2
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%=1562/850.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 850.2 is what percent of 1562

100%/x%=1562/850.2
(100/x)*x=(1562/850.2)*x       - we multiply both sides of the equation by x
100=1.8372147729946*x       - we divide both sides of the equation by (1.8372147729946) to get x
100/1.8372147729946=x
54.430217669654=x
x=54.430217669654

now we have:
850.2 is 54.430217669654% of 1562