533.3 is what percent of 1599.9 - 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 1599.9 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 1599.9, so we can write it down as 100%=1599.9.
4. We know, that x% equals 533.3 of the output value, so we can write it down as x%=533.3.
5. Now we have two simple equations:
1) 100%=1599.9
2) x%=533.3
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%=1599.9/533.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 533.3 is what percent of 1599.9

100%/x%=1599.9/533.3
(100/x)*x=(1599.9/533.3)*x       - we multiply both sides of the equation by x
100=3*x       - we divide both sides of the equation by (3) to get x
100/3=x
33.333333333333=x
x=33.333333333333

now we have:
533.3 is 33.333333333333% of 1599.9