159.59 is what percent of 27.48 - 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 27.48 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 27.48, so we can write it down as 100%=27.48.
4. We know, that x% equals 159.59 of the output value, so we can write it down as x%=159.59.
5. Now we have two simple equations:
1) 100%=27.48
2) x%=159.59
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%=27.48/159.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.59 is what percent of 27.48

100%/x%=27.48/159.59
(100/x)*x=(27.48/159.59)*x       - we multiply both sides of the equation by x
100=0.17219124005263*x       - we divide both sides of the equation by (0.17219124005263) to get x
100/0.17219124005263=x
580.74963609898=x
x=580.74963609898

now we have:
159.59 is 580.74963609898% of 27.48