31.6 is what percent of 710.85 - 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 710.85 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 710.85, so we can write it down as 100%=710.85.
4. We know, that x% equals 31.6 of the output value, so we can write it down as x%=31.6.
5. Now we have two simple equations:
1) 100%=710.85
2) x%=31.6
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%=710.85/31.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.6 is what percent of 710.85

100%/x%=710.85/31.6
(100/x)*x=(710.85/31.6)*x       - we multiply both sides of the equation by x
100=22.495253164557*x       - we divide both sides of the equation by (22.495253164557) to get x
100/22.495253164557=x
4.4453822888092=x
x=4.4453822888092

now we have:
31.6 is 4.4453822888092% of 710.85