21.98 is what percent of 834 - 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 834 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 834, so we can write it down as 100%=834.
4. We know, that x% equals 21.98 of the output value, so we can write it down as x%=21.98.
5. Now we have two simple equations:
1) 100%=834
2) x%=21.98
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%=834/21.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.98 is what percent of 834

100%/x%=834/21.98
(100/x)*x=(834/21.98)*x       - we multiply both sides of the equation by x
100=37.943585077343*x       - we divide both sides of the equation by (37.943585077343) to get x
100/37.943585077343=x
2.6354916067146=x
x=2.6354916067146

now we have:
21.98 is 2.6354916067146% of 834