864.44 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 864.44 of the output value, so we can write it down as x%=864.44.
5. Now we have two simple equations:
1) 100%=5
2) x%=864.44
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%=5/864.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 864.44 is what percent of 5

100%/x%=5/864.44
(100/x)*x=(5/864.44)*x       - we multiply both sides of the equation by x
100=0.0057840914349174*x       - we divide both sides of the equation by (0.0057840914349174) to get x
100/0.0057840914349174=x
17288.8=x
x=17288.8

now we have:
864.44 is 17288.8% of 5