252.8 is what percent of 158 - 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 158 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 158, so we can write it down as 100%=158.
4. We know, that x% equals 252.8 of the output value, so we can write it down as x%=252.8.
5. Now we have two simple equations:
1) 100%=158
2) x%=252.8
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%=158/252.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.8 is what percent of 158

100%/x%=158/252.8
(100/x)*x=(158/252.8)*x       - we multiply both sides of the equation by x
100=0.625*x       - we divide both sides of the equation by (0.625) to get x
100/0.625=x
160=x
x=160

now we have:
252.8 is 160% of 158