What is 51.42 percent of 345.24 - 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 345.24 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 345.24 is 100%, so we can write it down as 345.24=100%.
4. We know, that x is 51.42% of the output value, so we can write it down as x=51.42%.
5. Now we have two simple equations:
1) 345.24=100%
2) x=51.42%
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:
345.24/x=100%/51.42%
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 51.42% of 345.24

345.24/x=100/51.42
(345.24/x)*x=(100/51.42)*x       - we multiply both sides of the equation by x
345.24=1.9447685725399*x       - we divide both sides of the equation by (1.9447685725399) to get x
345.24/1.9447685725399=x
177.522408=x
x=177.522408

now we have:
51.42% of 345.24=177.522408