150.99 is what percent of 95.29 - 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 95.29 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 95.29, so we can write it down as 100%=95.29.
4. We know, that x% equals 150.99 of the output value, so we can write it down as x%=150.99.
5. Now we have two simple equations:
1) 100%=95.29
2) x%=150.99
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%=95.29/150.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.99 is what percent of 95.29

100%/x%=95.29/150.99
(100/x)*x=(95.29/150.99)*x       - we multiply both sides of the equation by x
100=0.63110139744354*x       - we divide both sides of the equation by (0.63110139744354) to get x
100/0.63110139744354=x
158.45314303704=x
x=158.45314303704

now we have:
150.99 is 158.45314303704% of 95.29