31.99 is what percent of 583.99 - 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 583.99 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 583.99, so we can write it down as 100%=583.99.
4. We know, that x% equals 31.99 of the output value, so we can write it down as x%=31.99.
5. Now we have two simple equations:
1) 100%=583.99
2) x%=31.99
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%=583.99/31.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.99 is what percent of 583.99

100%/x%=583.99/31.99
(100/x)*x=(583.99/31.99)*x       - we multiply both sides of the equation by x
100=18.255392310097*x       - we divide both sides of the equation by (18.255392310097) to get x
100/18.255392310097=x
5.4778335245467=x
x=5.4778335245467

now we have:
31.99 is 5.4778335245467% of 583.99