513.5 is what percent of 31343.63 - 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 31343.63 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 31343.63, so we can write it down as 100%=31343.63.
4. We know, that x% equals 513.5 of the output value, so we can write it down as x%=513.5.
5. Now we have two simple equations:
1) 100%=31343.63
2) x%=513.5
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%=31343.63/513.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 513.5 is what percent of 31343.63

100%/x%=31343.63/513.5
(100/x)*x=(31343.63/513.5)*x       - we multiply both sides of the equation by x
100=61.039201557936*x       - we divide both sides of the equation by (61.039201557936) to get x
100/61.039201557936=x
1.6382914167887=x
x=1.6382914167887

now we have:
513.5 is 1.6382914167887% of 31343.63