320.63 is what percent of 400.18 - 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 400.18 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 400.18, so we can write it down as 100%=400.18.
4. We know, that x% equals 320.63 of the output value, so we can write it down as x%=320.63.
5. Now we have two simple equations:
1) 100%=400.18
2) x%=320.63
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%=400.18/320.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.63 is what percent of 400.18

100%/x%=400.18/320.63
(100/x)*x=(400.18/320.63)*x       - we multiply both sides of the equation by x
100=1.248105292705*x       - we divide both sides of the equation by (1.248105292705) to get x
100/1.248105292705=x
80.121445349593=x
x=80.121445349593

now we have:
320.63 is 80.121445349593% of 400.18