846.66 is what percent of 1798 - 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 1798 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 1798, so we can write it down as 100%=1798.
4. We know, that x% equals 846.66 of the output value, so we can write it down as x%=846.66.
5. Now we have two simple equations:
1) 100%=1798
2) x%=846.66
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%=1798/846.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 846.66 is what percent of 1798

100%/x%=1798/846.66
(100/x)*x=(1798/846.66)*x       - we multiply both sides of the equation by x
100=2.1236387688092*x       - we divide both sides of the equation by (2.1236387688092) to get x
100/2.1236387688092=x
47.088987764182=x
x=47.088987764182

now we have:
846.66 is 47.088987764182% of 1798