10 is what percent of 245.76 - 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 245.76 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 245.76, so we can write it down as 100%=245.76.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=245.76
2) x%=10
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%=245.76/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 245.76

100%/x%=245.76/10
(100/x)*x=(245.76/10)*x       - we multiply both sides of the equation by x
100=24.576*x       - we divide both sides of the equation by (24.576) to get x
100/24.576=x
4.0690104166667=x
x=4.0690104166667

now we have:
10 is 4.0690104166667% of 245.76