What is 40.3 percent of 78.29 - 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 78.29 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 78.29 is 100%, so we can write it down as 78.29=100%.
4. We know, that x is 40.3% of the output value, so we can write it down as x=40.3%.
5. Now we have two simple equations:
1) 78.29=100%
2) x=40.3%
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:
78.29/x=100%/40.3%
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 40.3% of 78.29

78.29/x=100/40.3
(78.29/x)*x=(100/40.3)*x       - we multiply both sides of the equation by x
78.29=2.4813895781638*x       - we divide both sides of the equation by (2.4813895781638) to get x
78.29/2.4813895781638=x
31.55087=x
x=31.55087

now we have:
40.3% of 78.29=31.55087