What is 345 percent of 407.5 - 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 407.5 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 407.5 is 100%, so we can write it down as 407.5=100%.
4. We know, that x is 345% of the output value, so we can write it down as x=345%.
5. Now we have two simple equations:
1) 407.5=100%
2) x=345%
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:
407.5/x=100%/345%
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 345% of 407.5

407.5/x=100/345
(407.5/x)*x=(100/345)*x       - we multiply both sides of the equation by x
407.5=0.28985507246377*x       - we divide both sides of the equation by (0.28985507246377) to get x
407.5/0.28985507246377=x
1405.875=x
x=1405.875

now we have:
345% of 407.5=1405.875