706.76 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 706.76 of the output value, so we can write it down as x%=706.76.
5. Now we have two simple equations:
1) 100%=4000
2) x%=706.76
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%=4000/706.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 706.76 is what percent of 4000

100%/x%=4000/706.76
(100/x)*x=(4000/706.76)*x       - we multiply both sides of the equation by x
100=5.6596298602071*x       - we divide both sides of the equation by (5.6596298602071) to get x
100/5.6596298602071=x
17.669=x
x=17.669

now we have:
706.76 is 17.669% of 4000