159.92 is what percent of 179.3 - 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 179.3 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 179.3, so we can write it down as 100%=179.3.
4. We know, that x% equals 159.92 of the output value, so we can write it down as x%=159.92.
5. Now we have two simple equations:
1) 100%=179.3
2) x%=159.92
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%=179.3/159.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.92 is what percent of 179.3

100%/x%=179.3/159.92
(100/x)*x=(179.3/159.92)*x       - we multiply both sides of the equation by x
100=1.1211855927964*x       - we divide both sides of the equation by (1.1211855927964) to get x
100/1.1211855927964=x
89.191299498048=x
x=89.191299498048

now we have:
159.92 is 89.191299498048% of 179.3