230.26 is what percent of 250 - 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 250 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 250, so we can write it down as 100%=250.
4. We know, that x% equals 230.26 of the output value, so we can write it down as x%=230.26.
5. Now we have two simple equations:
1) 100%=250
2) x%=230.26
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%=250/230.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.26 is what percent of 250

100%/x%=250/230.26
(100/x)*x=(250/230.26)*x       - we multiply both sides of the equation by x
100=1.0857291757144*x       - we divide both sides of the equation by (1.0857291757144) to get x
100/1.0857291757144=x
92.104=x
x=92.104

now we have:
230.26 is 92.104% of 250