116.3 is what percent of 4000 - 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 4000 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 4000, so we can write it down as 100%=4000.
4. We know, that x% equals 116.3 of the output value, so we can write it down as x%=116.3.
5. Now we have two simple equations:
1) 100%=4000
2) x%=116.3
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%=4000/116.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.3 is what percent of 4000

100%/x%=4000/116.3
(100/x)*x=(4000/116.3)*x       - we multiply both sides of the equation by x
100=34.393809114359*x       - we divide both sides of the equation by (34.393809114359) to get x
100/34.393809114359=x
2.9075=x
x=2.9075

now we have:
116.3 is 2.9075% of 4000