1666.7 is what percent of 1700 - 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 1700 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 1700, so we can write it down as 100%=1700.
4. We know, that x% equals 1666.7 of the output value, so we can write it down as x%=1666.7.
5. Now we have two simple equations:
1) 100%=1700
2) x%=1666.7
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%=1700/1666.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1666.7 is what percent of 1700

100%/x%=1700/1666.7
(100/x)*x=(1700/1666.7)*x       - we multiply both sides of the equation by x
100=1.019979600408*x       - we divide both sides of the equation by (1.019979600408) to get x
100/1.019979600408=x
98.041176470588=x
x=98.041176470588

now we have:
1666.7 is 98.041176470588% of 1700