What is 22.5 percent of 830 - 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 830 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 830 is 100%, so we can write it down as 830=100%.
4. We know, that x is 22.5% of the output value, so we can write it down as x=22.5%.
5. Now we have two simple equations:
1) 830=100%
2) x=22.5%
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:
830/x=100%/22.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 22.5% of 830

830/x=100/22.5
(830/x)*x=(100/22.5)*x       - we multiply both sides of the equation by x
830=4.4444444444444*x       - we divide both sides of the equation by (4.4444444444444) to get x
830/4.4444444444444=x
186.75=x
x=186.75

now we have:
22.5% of 830=186.75