157.25 is what percent of 217.25 - 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 217.25 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 217.25, so we can write it down as 100%=217.25.
4. We know, that x% equals 157.25 of the output value, so we can write it down as x%=157.25.
5. Now we have two simple equations:
1) 100%=217.25
2) x%=157.25
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%=217.25/157.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.25 is what percent of 217.25

100%/x%=217.25/157.25
(100/x)*x=(217.25/157.25)*x       - we multiply both sides of the equation by x
100=1.3815580286169*x       - we divide both sides of the equation by (1.3815580286169) to get x
100/1.3815580286169=x
72.382048331415=x
x=72.382048331415

now we have:
157.25 is 72.382048331415% of 217.25