800.68 is what percent of 1830 - 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 1830 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 1830, so we can write it down as 100%=1830.
4. We know, that x% equals 800.68 of the output value, so we can write it down as x%=800.68.
5. Now we have two simple equations:
1) 100%=1830
2) x%=800.68
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%=1830/800.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 800.68 is what percent of 1830

100%/x%=1830/800.68
(100/x)*x=(1830/800.68)*x       - we multiply both sides of the equation by x
100=2.2855572763151*x       - we divide both sides of the equation by (2.2855572763151) to get x
100/2.2855572763151=x
43.753005464481=x
x=43.753005464481

now we have:
800.68 is 43.753005464481% of 1830