230.3 is what percent of 535.4 - 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 535.4 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 535.4, so we can write it down as 100%=535.4.
4. We know, that x% equals 230.3 of the output value, so we can write it down as x%=230.3.
5. Now we have two simple equations:
1) 100%=535.4
2) x%=230.3
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%=535.4/230.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.3 is what percent of 535.4

100%/x%=535.4/230.3
(100/x)*x=(535.4/230.3)*x       - we multiply both sides of the equation by x
100=2.3247937472861*x       - we divide both sides of the equation by (2.3247937472861) to get x
100/2.3247937472861=x
43.014568546881=x
x=43.014568546881

now we have:
230.3 is 43.014568546881% of 535.4