60.16 is what percent of 1257.48 - 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 1257.48 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 1257.48, so we can write it down as 100%=1257.48.
4. We know, that x% equals 60.16 of the output value, so we can write it down as x%=60.16.
5. Now we have two simple equations:
1) 100%=1257.48
2) x%=60.16
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%=1257.48/60.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.16 is what percent of 1257.48

100%/x%=1257.48/60.16
(100/x)*x=(1257.48/60.16)*x       - we multiply both sides of the equation by x
100=20.902260638298*x       - we divide both sides of the equation by (20.902260638298) to get x
100/20.902260638298=x
4.7841715176385=x
x=4.7841715176385

now we have:
60.16 is 4.7841715176385% of 1257.48