150.05 is what percent of 8755 - 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 8755 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 8755, so we can write it down as 100%=8755.
4. We know, that x% equals 150.05 of the output value, so we can write it down as x%=150.05.
5. Now we have two simple equations:
1) 100%=8755
2) x%=150.05
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%=8755/150.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.05 is what percent of 8755

100%/x%=8755/150.05
(100/x)*x=(8755/150.05)*x       - we multiply both sides of the equation by x
100=58.347217594135*x       - we divide both sides of the equation by (58.347217594135) to get x
100/58.347217594135=x
1.7138777841234=x
x=1.7138777841234

now we have:
150.05 is 1.7138777841234% of 8755