150.8 is what percent of 8750.26 - 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 8750.26 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 8750.26, so we can write it down as 100%=8750.26.
4. We know, that x% equals 150.8 of the output value, so we can write it down as x%=150.8.
5. Now we have two simple equations:
1) 100%=8750.26
2) x%=150.8
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%=8750.26/150.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.8 is what percent of 8750.26

100%/x%=8750.26/150.8
(100/x)*x=(8750.26/150.8)*x       - we multiply both sides of the equation by x
100=58.025596816976*x       - we divide both sides of the equation by (58.025596816976) to get x
100/58.025596816976=x
1.7233773625012=x
x=1.7233773625012

now we have:
150.8 is 1.7233773625012% of 8750.26