26.5 is what percent of 100798 - 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 100798 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 100798, so we can write it down as 100%=100798.
4. We know, that x% equals 26.5 of the output value, so we can write it down as x%=26.5.
5. Now we have two simple equations:
1) 100%=100798
2) x%=26.5
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%=100798/26.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.5 is what percent of 100798

100%/x%=100798/26.5
(100/x)*x=(100798/26.5)*x       - we multiply both sides of the equation by x
100=3803.6981132075*x       - we divide both sides of the equation by (3803.6981132075) to get x
100/3803.6981132075=x
0.026290204170718=x
x=0.026290204170718

now we have:
26.5 is 0.026290204170718% of 100798