133.45 is what percent of 149.95 - 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 149.95 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 149.95, so we can write it down as 100%=149.95.
4. We know, that x% equals 133.45 of the output value, so we can write it down as x%=133.45.
5. Now we have two simple equations:
1) 100%=149.95
2) x%=133.45
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%=149.95/133.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.45 is what percent of 149.95

100%/x%=149.95/133.45
(100/x)*x=(149.95/133.45)*x       - we multiply both sides of the equation by x
100=1.1236418134133*x       - we divide both sides of the equation by (1.1236418134133) to get x
100/1.1236418134133=x
88.996332110704=x
x=88.996332110704

now we have:
133.45 is 88.996332110704% of 149.95