847.04 is what percent of 1046.64 - 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 1046.64 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 1046.64, so we can write it down as 100%=1046.64.
4. We know, that x% equals 847.04 of the output value, so we can write it down as x%=847.04.
5. Now we have two simple equations:
1) 100%=1046.64
2) x%=847.04
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%=1046.64/847.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 847.04 is what percent of 1046.64

100%/x%=1046.64/847.04
(100/x)*x=(1046.64/847.04)*x       - we multiply both sides of the equation by x
100=1.235644125425*x       - we divide both sides of the equation by (1.235644125425) to get x
100/1.235644125425=x
80.929450431858=x
x=80.929450431858

now we have:
847.04 is 80.929450431858% of 1046.64