149.99 is what percent of 356.45 - 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 356.45 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 356.45, so we can write it down as 100%=356.45.
4. We know, that x% equals 149.99 of the output value, so we can write it down as x%=149.99.
5. Now we have two simple equations:
1) 100%=356.45
2) x%=149.99
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%=356.45/149.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.99 is what percent of 356.45

100%/x%=356.45/149.99
(100/x)*x=(356.45/149.99)*x       - we multiply both sides of the equation by x
100=2.3764917661177*x       - we divide both sides of the equation by (2.3764917661177) to get x
100/2.3764917661177=x
42.078832935896=x
x=42.078832935896

now we have:
149.99 is 42.078832935896% of 356.45