28.5 is what percent of 536.28 - 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 536.28 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 536.28, so we can write it down as 100%=536.28.
4. We know, that x% equals 28.5 of the output value, so we can write it down as x%=28.5.
5. Now we have two simple equations:
1) 100%=536.28
2) x%=28.5
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%=536.28/28.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.5 is what percent of 536.28

100%/x%=536.28/28.5
(100/x)*x=(536.28/28.5)*x       - we multiply both sides of the equation by x
100=18.816842105263*x       - we divide both sides of the equation by (18.816842105263) to get x
100/18.816842105263=x
5.3143880062654=x
x=5.3143880062654

now we have:
28.5 is 5.3143880062654% of 536.28