231.25 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
4. We know, that x% equals 231.25 of the output value, so we can write it down as x%=231.25.
5. Now we have two simple equations:
1) 100%=32
2) x%=231.25
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%=32/231.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 231.25 is what percent of 32

100%/x%=32/231.25
(100/x)*x=(32/231.25)*x       - we multiply both sides of the equation by x
100=0.13837837837838*x       - we divide both sides of the equation by (0.13837837837838) to get x
100/0.13837837837838=x
722.65625=x
x=722.65625

now we have:
231.25 is 722.65625% of 32