What is 46.03 percent of 742.4 - 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 742.4 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 742.4 is 100%, so we can write it down as 742.4=100%.
4. We know, that x is 46.03% of the output value, so we can write it down as x=46.03%.
5. Now we have two simple equations:
1) 742.4=100%
2) x=46.03%
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:
742.4/x=100%/46.03%
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 46.03% of 742.4

742.4/x=100/46.03
(742.4/x)*x=(100/46.03)*x       - we multiply both sides of the equation by x
742.4=2.1724961981317*x       - we divide both sides of the equation by (2.1724961981317) to get x
742.4/2.1724961981317=x
341.72672=x
x=341.72672

now we have:
46.03% of 742.4=341.72672