254.99 is what percent of 420.97 - 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 420.97 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 420.97, so we can write it down as 100%=420.97.
4. We know, that x% equals 254.99 of the output value, so we can write it down as x%=254.99.
5. Now we have two simple equations:
1) 100%=420.97
2) x%=254.99
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%=420.97/254.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.99 is what percent of 420.97

100%/x%=420.97/254.99
(100/x)*x=(420.97/254.99)*x       - we multiply both sides of the equation by x
100=1.6509274873524*x       - we divide both sides of the equation by (1.6509274873524) to get x
100/1.6509274873524=x
60.572012257406=x
x=60.572012257406

now we have:
254.99 is 60.572012257406% of 420.97