310.75 is what percent of 1525.38 - 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 1525.38 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 1525.38, so we can write it down as 100%=1525.38.
4. We know, that x% equals 310.75 of the output value, so we can write it down as x%=310.75.
5. Now we have two simple equations:
1) 100%=1525.38
2) x%=310.75
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%=1525.38/310.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.75 is what percent of 1525.38

100%/x%=1525.38/310.75
(100/x)*x=(1525.38/310.75)*x       - we multiply both sides of the equation by x
100=4.9087047465809*x       - we divide both sides of the equation by (4.9087047465809) to get x
100/4.9087047465809=x
20.371972885445=x
x=20.371972885445

now we have:
310.75 is 20.371972885445% of 1525.38