80.35 is what percent of 1401.5 - 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 1401.5 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 1401.5, so we can write it down as 100%=1401.5.
4. We know, that x% equals 80.35 of the output value, so we can write it down as x%=80.35.
5. Now we have two simple equations:
1) 100%=1401.5
2) x%=80.35
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%=1401.5/80.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.35 is what percent of 1401.5

100%/x%=1401.5/80.35
(100/x)*x=(1401.5/80.35)*x       - we multiply both sides of the equation by x
100=17.44243932794*x       - we divide both sides of the equation by (17.44243932794) to get x
100/17.44243932794=x
5.7331430610061=x
x=5.7331430610061

now we have:
80.35 is 5.7331430610061% of 1401.5