158.51 is what percent of 283.2 - 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 283.2 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 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 158.51 of the output value, so we can write it down as x%=158.51.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=158.51
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%=283.2/158.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.51 is what percent of 283.2

100%/x%=283.2/158.51
(100/x)*x=(283.2/158.51)*x       - we multiply both sides of the equation by x
100=1.7866380669989*x       - we divide both sides of the equation by (1.7866380669989) to get x
100/1.7866380669989=x
55.97104519774=x
x=55.97104519774

now we have:
158.51 is 55.97104519774% of 283.2