9.65E-5 is what percent of 0.000298 - 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 0.000298 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 0.000298, so we can write it down as 100%=0.000298.
4. We know, that x% equals 9.65E-5 of the output value, so we can write it down as x%=9.65E-5.
5. Now we have two simple equations:
1) 100%=0.000298
2) x%=9.65E-5
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%=0.000298/9.65E-5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.65E-5 is what percent of 0.000298

100%/x%=0.000298/9.65E-5
(100/x)*x=(0.000298/9.65E-5)*x       - we multiply both sides of the equation by x
100=3.0880829015544*x       - we divide both sides of the equation by (3.0880829015544) to get x
100/3.0880829015544=x
32.38255033557=x
x=32.38255033557

now we have:
9.65E-5 is 32.38255033557% of 0.000298