976.65 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 976.65 of the output value, so we can write it down as x%=976.65.
5. Now we have two simple equations:
1) 100%=4000
2) x%=976.65
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%=4000/976.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 976.65 is what percent of 4000

100%/x%=4000/976.65
(100/x)*x=(4000/976.65)*x       - we multiply both sides of the equation by x
100=4.0956330312804*x       - we divide both sides of the equation by (4.0956330312804) to get x
100/4.0956330312804=x
24.41625=x
x=24.41625

now we have:
976.65 is 24.41625% of 4000