310.2 is what percent of 325.99 - 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 325.99 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 325.99, so we can write it down as 100%=325.99.
4. We know, that x% equals 310.2 of the output value, so we can write it down as x%=310.2.
5. Now we have two simple equations:
1) 100%=325.99
2) x%=310.2
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%=325.99/310.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.2 is what percent of 325.99

100%/x%=325.99/310.2
(100/x)*x=(325.99/310.2)*x       - we multiply both sides of the equation by x
100=1.0509026434558*x       - we divide both sides of the equation by (1.0509026434558) to get x
100/1.0509026434558=x
95.156293137826=x
x=95.156293137826

now we have:
310.2 is 95.156293137826% of 325.99