56.66 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 56.66 of the output value, so we can write it down as x%=56.66.
5. Now we have two simple equations:
1) 100%=5000
2) x%=56.66
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%=5000/56.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.66 is what percent of 5000

100%/x%=5000/56.66
(100/x)*x=(5000/56.66)*x       - we multiply both sides of the equation by x
100=88.245675961878*x       - we divide both sides of the equation by (88.245675961878) to get x
100/88.245675961878=x
1.1332=x
x=1.1332

now we have:
56.66 is 1.1332% of 5000