225.07 is what percent of 315.02 - 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 315.02 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 315.02, so we can write it down as 100%=315.02.
4. We know, that x% equals 225.07 of the output value, so we can write it down as x%=225.07.
5. Now we have two simple equations:
1) 100%=315.02
2) x%=225.07
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%=315.02/225.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.07 is what percent of 315.02

100%/x%=315.02/225.07
(100/x)*x=(315.02/225.07)*x       - we multiply both sides of the equation by x
100=1.3996534411516*x       - we divide both sides of the equation by (1.3996534411516) to get x
100/1.3996534411516=x
71.446257380484=x
x=71.446257380484

now we have:
225.07 is 71.446257380484% of 315.02