313.83 is what percent of 3760 - 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 3760 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 3760, so we can write it down as 100%=3760.
4. We know, that x% equals 313.83 of the output value, so we can write it down as x%=313.83.
5. Now we have two simple equations:
1) 100%=3760
2) x%=313.83
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%=3760/313.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 313.83 is what percent of 3760

100%/x%=3760/313.83
(100/x)*x=(3760/313.83)*x       - we multiply both sides of the equation by x
100=11.981008826435*x       - we divide both sides of the equation by (11.981008826435) to get x
100/11.981008826435=x
8.3465425531915=x
x=8.3465425531915

now we have:
313.83 is 8.3465425531915% of 3760