226.5 is what percent of 322.5 - 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 322.5 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 322.5, so we can write it down as 100%=322.5.
4. We know, that x% equals 226.5 of the output value, so we can write it down as x%=226.5.
5. Now we have two simple equations:
1) 100%=322.5
2) x%=226.5
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%=322.5/226.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.5 is what percent of 322.5

100%/x%=322.5/226.5
(100/x)*x=(322.5/226.5)*x       - we multiply both sides of the equation by x
100=1.4238410596026*x       - we divide both sides of the equation by (1.4238410596026) to get x
100/1.4238410596026=x
70.232558139535=x
x=70.232558139535

now we have:
226.5 is 70.232558139535% of 322.5