230.7 is what percent of 1238.5 - 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 1238.5 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 1238.5, so we can write it down as 100%=1238.5.
4. We know, that x% equals 230.7 of the output value, so we can write it down as x%=230.7.
5. Now we have two simple equations:
1) 100%=1238.5
2) x%=230.7
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%=1238.5/230.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.7 is what percent of 1238.5

100%/x%=1238.5/230.7
(100/x)*x=(1238.5/230.7)*x       - we multiply both sides of the equation by x
100=5.3684438664933*x       - we divide both sides of the equation by (5.3684438664933) to get x
100/5.3684438664933=x
18.627371820751=x
x=18.627371820751

now we have:
230.7 is 18.627371820751% of 1238.5