149.95 is what percent of 169.98 - 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 169.98 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 169.98, so we can write it down as 100%=169.98.
4. We know, that x% equals 149.95 of the output value, so we can write it down as x%=149.95.
5. Now we have two simple equations:
1) 100%=169.98
2) x%=149.95
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%=169.98/149.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.95 is what percent of 169.98

100%/x%=169.98/149.95
(100/x)*x=(169.98/149.95)*x       - we multiply both sides of the equation by x
100=1.1335778592864*x       - we divide both sides of the equation by (1.1335778592864) to get x
100/1.1335778592864=x
88.216260736557=x
x=88.216260736557

now we have:
149.95 is 88.216260736557% of 169.98