105.4 is what percent of 533.4 - 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 533.4 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 533.4, so we can write it down as 100%=533.4.
4. We know, that x% equals 105.4 of the output value, so we can write it down as x%=105.4.
5. Now we have two simple equations:
1) 100%=533.4
2) x%=105.4
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%=533.4/105.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.4 is what percent of 533.4

100%/x%=533.4/105.4
(100/x)*x=(533.4/105.4)*x       - we multiply both sides of the equation by x
100=5.0607210626186*x       - we divide both sides of the equation by (5.0607210626186) to get x
100/5.0607210626186=x
19.76002999625=x
x=19.76002999625

now we have:
105.4 is 19.76002999625% of 533.4