1.0E+84 is what percent of 1.0E+98 - 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 1.0E+98 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 1.0E+98, so we can write it down as 100%=1.0E+98.
4. We know, that x% equals 1.0E+84 of the output value, so we can write it down as x%=1.0E+84.
5. Now we have two simple equations:
1) 100%=1.0E+98
2) x%=1.0E+84
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%=1.0E+98/1.0E+84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.0E+84 is what percent of 1.0E+98

100%/x%=1.0E+98/1.0E+84
(100/x)*x=(1.0E+98/1.0E+84)*x       - we multiply both sides of the equation by x
100=1.0E+14*x       - we divide both sides of the equation by (1.0E+14) to get x
100/1.0E+14=x
1.0E-12=x
x=1.0E-12

now we have:
1.0E+84 is 1.0E-12% of 1.0E+98