What is 1.45 percent of 842.06 - 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 842.06 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 842.06 is 100%, so we can write it down as 842.06=100%.
4. We know, that x is 1.45% of the output value, so we can write it down as x=1.45%.
5. Now we have two simple equations:
1) 842.06=100%
2) x=1.45%
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:
842.06/x=100%/1.45%
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 1.45% of 842.06

842.06/x=100/1.45
(842.06/x)*x=(100/1.45)*x       - we multiply both sides of the equation by x
842.06=68.965517241379*x       - we divide both sides of the equation by (68.965517241379) to get x
842.06/68.965517241379=x
12.20987=x
x=12.20987

now we have:
1.45% of 842.06=12.20987