17.63 is what percent of 820.61 - 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 820.61 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 820.61, so we can write it down as 100%=820.61.
4. We know, that x% equals 17.63 of the output value, so we can write it down as x%=17.63.
5. Now we have two simple equations:
1) 100%=820.61
2) x%=17.63
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%=820.61/17.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.63 is what percent of 820.61

100%/x%=820.61/17.63
(100/x)*x=(820.61/17.63)*x       - we multiply both sides of the equation by x
100=46.54622802042*x       - we divide both sides of the equation by (46.54622802042) to get x
100/46.54622802042=x
2.148401798662=x
x=2.148401798662

now we have:
17.63 is 2.148401798662% of 820.61