10.2 is what percent of 263.8 - 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 263.8 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 263.8, so we can write it down as 100%=263.8.
4. We know, that x% equals 10.2 of the output value, so we can write it down as x%=10.2.
5. Now we have two simple equations:
1) 100%=263.8
2) x%=10.2
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%=263.8/10.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.2 is what percent of 263.8

100%/x%=263.8/10.2
(100/x)*x=(263.8/10.2)*x       - we multiply both sides of the equation by x
100=25.862745098039*x       - we divide both sides of the equation by (25.862745098039) to get x
100/25.862745098039=x
3.8665655799848=x
x=3.8665655799848

now we have:
10.2 is 3.8665655799848% of 263.8