316.14 is what percent of 4267.86 - 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 4267.86 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 4267.86, so we can write it down as 100%=4267.86.
4. We know, that x% equals 316.14 of the output value, so we can write it down as x%=316.14.
5. Now we have two simple equations:
1) 100%=4267.86
2) x%=316.14
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%=4267.86/316.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.14 is what percent of 4267.86

100%/x%=4267.86/316.14
(100/x)*x=(4267.86/316.14)*x       - we multiply both sides of the equation by x
100=13.499905105333*x       - we divide both sides of the equation by (13.499905105333) to get x
100/13.499905105333=x
7.4074594761778=x
x=7.4074594761778

now we have:
316.14 is 7.4074594761778% of 4267.86