1.23456789 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 1.23456789 of the output value, so we can write it down as x%=1.23456789.
5. Now we have two simple equations:
1) 100%=2
2) x%=1.23456789
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%=2/1.23456789
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.23456789 is what percent of 2

100%/x%=2/1.23456789
(100/x)*x=(2/1.23456789)*x       - we multiply both sides of the equation by x
100=1.620000014742*x       - we divide both sides of the equation by (1.620000014742) to get x
100/1.620000014742=x
61.7283945=x
x=61.7283945

now we have:
1.23456789 is 61.7283945% of 2