145.24 is what percent of 536.19 - 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 536.19 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 536.19, so we can write it down as 100%=536.19.
4. We know, that x% equals 145.24 of the output value, so we can write it down as x%=145.24.
5. Now we have two simple equations:
1) 100%=536.19
2) x%=145.24
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%=536.19/145.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.24 is what percent of 536.19

100%/x%=536.19/145.24
(100/x)*x=(536.19/145.24)*x       - we multiply both sides of the equation by x
100=3.6917515835858*x       - we divide both sides of the equation by (3.6917515835858) to get x
100/3.6917515835858=x
27.087413043884=x
x=27.087413043884

now we have:
145.24 is 27.087413043884% of 536.19