488.58 is what percent of 248.87 - 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 248.87 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 248.87, so we can write it down as 100%=248.87.
4. We know, that x% equals 488.58 of the output value, so we can write it down as x%=488.58.
5. Now we have two simple equations:
1) 100%=248.87
2) x%=488.58
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%=248.87/488.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.58 is what percent of 248.87

100%/x%=248.87/488.58
(100/x)*x=(248.87/488.58)*x       - we multiply both sides of the equation by x
100=0.50937410454787*x       - we divide both sides of the equation by (0.50937410454787) to get x
100/0.50937410454787=x
196.31936352312=x
x=196.31936352312

now we have:
488.58 is 196.31936352312% of 248.87