70.83 is what percent of 708.33 - 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 708.33 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 708.33, so we can write it down as 100%=708.33.
4. We know, that x% equals 70.83 of the output value, so we can write it down as x%=70.83.
5. Now we have two simple equations:
1) 100%=708.33
2) x%=70.83
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%=708.33/70.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.83 is what percent of 708.33

100%/x%=708.33/70.83
(100/x)*x=(708.33/70.83)*x       - we multiply both sides of the equation by x
100=10.000423549344*x       - we divide both sides of the equation by (10.000423549344) to get x
100/10.000423549344=x
9.9995764685951=x
x=9.9995764685951

now we have:
70.83 is 9.9995764685951% of 708.33