536.5 is what percent of 1744.5 - 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 1744.5 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 1744.5, so we can write it down as 100%=1744.5.
4. We know, that x% equals 536.5 of the output value, so we can write it down as x%=536.5.
5. Now we have two simple equations:
1) 100%=1744.5
2) x%=536.5
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%=1744.5/536.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 536.5 is what percent of 1744.5

100%/x%=1744.5/536.5
(100/x)*x=(1744.5/536.5)*x       - we multiply both sides of the equation by x
100=3.2516309412861*x       - we divide both sides of the equation by (3.2516309412861) to get x
100/3.2516309412861=x
30.753797649756=x
x=30.753797649756

now we have:
536.5 is 30.753797649756% of 1744.5