263.1 is what percent of 699.5 - 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 699.5 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 699.5, so we can write it down as 100%=699.5.
4. We know, that x% equals 263.1 of the output value, so we can write it down as x%=263.1.
5. Now we have two simple equations:
1) 100%=699.5
2) x%=263.1
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%=699.5/263.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 263.1 is what percent of 699.5

100%/x%=699.5/263.1
(100/x)*x=(699.5/263.1)*x       - we multiply both sides of the equation by x
100=2.6586849106803*x       - we divide both sides of the equation by (2.6586849106803) to get x
100/2.6586849106803=x
37.612580414582=x
x=37.612580414582

now we have:
263.1 is 37.612580414582% of 699.5