1.26 is what percent of 1.63 - 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 1.63 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 1.63, so we can write it down as 100%=1.63.
4. We know, that x% equals 1.26 of the output value, so we can write it down as x%=1.26.
5. Now we have two simple equations:
1) 100%=1.63
2) x%=1.26
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%=1.63/1.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.26 is what percent of 1.63

100%/x%=1.63/1.26
(100/x)*x=(1.63/1.26)*x       - we multiply both sides of the equation by x
100=1.2936507936508*x       - we divide both sides of the equation by (1.2936507936508) to get x
100/1.2936507936508=x
77.300613496933=x
x=77.300613496933

now we have:
1.26 is 77.300613496933% of 1.63