742.36 is what percent of 41.26 - 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 41.26 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 41.26, so we can write it down as 100%=41.26.
4. We know, that x% equals 742.36 of the output value, so we can write it down as x%=742.36.
5. Now we have two simple equations:
1) 100%=41.26
2) x%=742.36
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%=41.26/742.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 742.36 is what percent of 41.26

100%/x%=41.26/742.36
(100/x)*x=(41.26/742.36)*x       - we multiply both sides of the equation by x
100=0.055579503205992*x       - we divide both sides of the equation by (0.055579503205992) to get x
100/0.055579503205992=x
1799.2244304411=x
x=1799.2244304411

now we have:
742.36 is 1799.2244304411% of 41.26