513.51 is what percent of 537.51 - 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 537.51 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 537.51, so we can write it down as 100%=537.51.
4. We know, that x% equals 513.51 of the output value, so we can write it down as x%=513.51.
5. Now we have two simple equations:
1) 100%=537.51
2) x%=513.51
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%=537.51/513.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 513.51 is what percent of 537.51

100%/x%=537.51/513.51
(100/x)*x=(537.51/513.51)*x       - we multiply both sides of the equation by x
100=1.0467371618858*x       - we divide both sides of the equation by (1.0467371618858) to get x
100/1.0467371618858=x
95.534966791316=x
x=95.534966791316

now we have:
513.51 is 95.534966791316% of 537.51