533.52 is what percent of 1026 - 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 1026 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 1026, so we can write it down as 100%=1026.
4. We know, that x% equals 533.52 of the output value, so we can write it down as x%=533.52.
5. Now we have two simple equations:
1) 100%=1026
2) x%=533.52
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%=1026/533.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 533.52 is what percent of 1026

100%/x%=1026/533.52
(100/x)*x=(1026/533.52)*x       - we multiply both sides of the equation by x
100=1.9230769230769*x       - we divide both sides of the equation by (1.9230769230769) to get x
100/1.9230769230769=x
52=x
x=52

now we have:
533.52 is 52% of 1026