15.74 is what percent of 245.82 - 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 245.82 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 245.82, so we can write it down as 100%=245.82.
4. We know, that x% equals 15.74 of the output value, so we can write it down as x%=15.74.
5. Now we have two simple equations:
1) 100%=245.82
2) x%=15.74
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%=245.82/15.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.74 is what percent of 245.82

100%/x%=245.82/15.74
(100/x)*x=(245.82/15.74)*x       - we multiply both sides of the equation by x
100=15.617534942821*x       - we divide both sides of the equation by (15.617534942821) to get x
100/15.617534942821=x
6.4030591489708=x
x=6.4030591489708

now we have:
15.74 is 6.4030591489708% of 245.82