157.75 is what percent of 282.12 - 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 282.12 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 282.12, so we can write it down as 100%=282.12.
4. We know, that x% equals 157.75 of the output value, so we can write it down as x%=157.75.
5. Now we have two simple equations:
1) 100%=282.12
2) x%=157.75
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%=282.12/157.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.75 is what percent of 282.12

100%/x%=282.12/157.75
(100/x)*x=(282.12/157.75)*x       - we multiply both sides of the equation by x
100=1.7883993660856*x       - we divide both sides of the equation by (1.7883993660856) to get x
100/1.7883993660856=x
55.915922302566=x
x=55.915922302566

now we have:
157.75 is 55.915922302566% of 282.12