What is 1.0E+23 percent of 2.0E+22 - 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 2.0E+22 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 2.0E+22 is 100%, so we can write it down as 2.0E+22=100%.
4. We know, that x is 1.0E+23% of the output value, so we can write it down as x=1.0E+23%.
5. Now we have two simple equations:
1) 2.0E+22=100%
2) x=1.0E+23%
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:
2.0E+22/x=100%/1.0E+23%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.0E+23% of 2.0E+22

2.0E+22/x=100/1.0E+23
(2.0E+22/x)*x=(100/1.0E+23)*x       - we multiply both sides of the equation by x
2.0E+22=1.0E-21*x       - we divide both sides of the equation by (1.0E-21) to get x
2.0E+22/1.0E-21=x
2.0E+43=x
x=2.0E+43

now we have:
1.0E+23% of 2.0E+22=2.0E+43