310.86 is what percent of 228.57 - 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 228.57 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 228.57, so we can write it down as 100%=228.57.
4. We know, that x% equals 310.86 of the output value, so we can write it down as x%=310.86.
5. Now we have two simple equations:
1) 100%=228.57
2) x%=310.86
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%=228.57/310.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.86 is what percent of 228.57

100%/x%=228.57/310.86
(100/x)*x=(228.57/310.86)*x       - we multiply both sides of the equation by x
100=0.73528276394518*x       - we divide both sides of the equation by (0.73528276394518) to get x
100/0.73528276394518=x
136.00210001313=x
x=136.00210001313

now we have:
310.86 is 136.00210001313% of 228.57