343.07 is what percent of 2.427 - 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 2.427 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 100% equals 2.427, so we can write it down as 100%=2.427.
4. We know, that x% equals 343.07 of the output value, so we can write it down as x%=343.07.
5. Now we have two simple equations:
1) 100%=2.427
2) x%=343.07
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:
100%/x%=2.427/343.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.07 is what percent of 2.427

100%/x%=2.427/343.07
(100/x)*x=(2.427/343.07)*x       - we multiply both sides of the equation by x
100=0.00707435800274*x       - we divide both sides of the equation by (0.00707435800274) to get x
100/0.00707435800274=x
14135.558302431=x
x=14135.558302431

now we have:
343.07 is 14135.558302431% of 2.427