41.8 is what percent of 313.1 - 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 313.1 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 313.1, so we can write it down as 100%=313.1.
4. We know, that x% equals 41.8 of the output value, so we can write it down as x%=41.8.
5. Now we have two simple equations:
1) 100%=313.1
2) x%=41.8
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%=313.1/41.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.8 is what percent of 313.1

100%/x%=313.1/41.8
(100/x)*x=(313.1/41.8)*x       - we multiply both sides of the equation by x
100=7.4904306220096*x       - we divide both sides of the equation by (7.4904306220096) to get x
100/7.4904306220096=x
13.350367294794=x
x=13.350367294794

now we have:
41.8 is 13.350367294794% of 313.1