159.62 is what percent of 1012.07 - 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 1012.07 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 1012.07, so we can write it down as 100%=1012.07.
4. We know, that x% equals 159.62 of the output value, so we can write it down as x%=159.62.
5. Now we have two simple equations:
1) 100%=1012.07
2) x%=159.62
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%=1012.07/159.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.62 is what percent of 1012.07

100%/x%=1012.07/159.62
(100/x)*x=(1012.07/159.62)*x       - we multiply both sides of the equation by x
100=6.3404961784238*x       - we divide both sides of the equation by (6.3404961784238) to get x
100/6.3404961784238=x
15.771636349264=x
x=15.771636349264

now we have:
159.62 is 15.771636349264% of 1012.07