670.46 is what percent of 2832.04 - 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 2832.04 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 2832.04, so we can write it down as 100%=2832.04.
4. We know, that x% equals 670.46 of the output value, so we can write it down as x%=670.46.
5. Now we have two simple equations:
1) 100%=2832.04
2) x%=670.46
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%=2832.04/670.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 670.46 is what percent of 2832.04

100%/x%=2832.04/670.46
(100/x)*x=(2832.04/670.46)*x       - we multiply both sides of the equation by x
100=4.2240252960654*x       - we divide both sides of the equation by (4.2240252960654) to get x
100/4.2240252960654=x
23.674100648296=x
x=23.674100648296

now we have:
670.46 is 23.674100648296% of 2832.04