379.77 is what percent of 2350 - 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 2350 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 2350, so we can write it down as 100%=2350.
4. We know, that x% equals 379.77 of the output value, so we can write it down as x%=379.77.
5. Now we have two simple equations:
1) 100%=2350
2) x%=379.77
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%=2350/379.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.77 is what percent of 2350

100%/x%=2350/379.77
(100/x)*x=(2350/379.77)*x       - we multiply both sides of the equation by x
100=6.1879558680254*x       - we divide both sides of the equation by (6.1879558680254) to get x
100/6.1879558680254=x
16.160425531915=x
x=16.160425531915

now we have:
379.77 is 16.160425531915% of 2350