225.4 is what percent of 500.67 - 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 500.67 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 500.67, so we can write it down as 100%=500.67.
4. We know, that x% equals 225.4 of the output value, so we can write it down as x%=225.4.
5. Now we have two simple equations:
1) 100%=500.67
2) x%=225.4
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%=500.67/225.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.4 is what percent of 500.67

100%/x%=500.67/225.4
(100/x)*x=(500.67/225.4)*x       - we multiply both sides of the equation by x
100=2.2212511091393*x       - we divide both sides of the equation by (2.2212511091393) to get x
100/2.2212511091393=x
45.019673637326=x
x=45.019673637326

now we have:
225.4 is 45.019673637326% of 500.67