169.02 is what percent of 145.63 - 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 145.63 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 145.63, so we can write it down as 100%=145.63.
4. We know, that x% equals 169.02 of the output value, so we can write it down as x%=169.02.
5. Now we have two simple equations:
1) 100%=145.63
2) x%=169.02
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%=145.63/169.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.02 is what percent of 145.63

100%/x%=145.63/169.02
(100/x)*x=(145.63/169.02)*x       - we multiply both sides of the equation by x
100=0.86161401017631*x       - we divide both sides of the equation by (0.86161401017631) to get x
100/0.86161401017631=x
116.06125111584=x
x=116.06125111584

now we have:
169.02 is 116.06125111584% of 145.63