60.17 is what percent of 228.25 - 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 228.25 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 228.25, so we can write it down as 100%=228.25.
4. We know, that x% equals 60.17 of the output value, so we can write it down as x%=60.17.
5. Now we have two simple equations:
1) 100%=228.25
2) x%=60.17
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%=228.25/60.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.17 is what percent of 228.25

100%/x%=228.25/60.17
(100/x)*x=(228.25/60.17)*x       - we multiply both sides of the equation by x
100=3.7934186471664*x       - we divide both sides of the equation by (3.7934186471664) to get x
100/3.7934186471664=x
26.361445783133=x
x=26.361445783133

now we have:
60.17 is 26.361445783133% of 228.25