159.95 is what percent of 179.95 - 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 179.95 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 179.95, so we can write it down as 100%=179.95.
4. We know, that x% equals 159.95 of the output value, so we can write it down as x%=159.95.
5. Now we have two simple equations:
1) 100%=179.95
2) x%=159.95
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%=179.95/159.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.95 is what percent of 179.95

100%/x%=179.95/159.95
(100/x)*x=(179.95/159.95)*x       - we multiply both sides of the equation by x
100=1.1250390747108*x       - we divide both sides of the equation by (1.1250390747108) to get x
100/1.1250390747108=x
88.885801611559=x
x=88.885801611559

now we have:
159.95 is 88.885801611559% of 179.95