What is 4.0E-5 percent of 1167 - 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 1167 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 1167 is 100%, so we can write it down as 1167=100%.
4. We know, that x is 4.0E-5% of the output value, so we can write it down as x=4.0E-5%.
5. Now we have two simple equations:
1) 1167=100%
2) x=4.0E-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:
1167/x=100%/4.0E-5%
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 4.0E-5% of 1167

1167/x=100/4.0E-5
(1167/x)*x=(100/4.0E-5)*x       - we multiply both sides of the equation by x
1167=2500000*x       - we divide both sides of the equation by (2500000) to get x
1167/2500000=x
0.0004668=x
x=0.0004668

now we have:
4.0E-5% of 1167=0.0004668