What is 250 percent of 102.2 - 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 102.2 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 102.2 is 100%, so we can write it down as 102.2=100%.
4. We know, that x is 250% of the output value, so we can write it down as x=250%.
5. Now we have two simple equations:
1) 102.2=100%
2) x=250%
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:
102.2/x=100%/250%
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 250% of 102.2

102.2/x=100/250
(102.2/x)*x=(100/250)*x       - we multiply both sides of the equation by x
102.2=0.4*x       - we divide both sides of the equation by (0.4) to get x
102.2/0.4=x
255.5=x
x=255.5

now we have:
250% of 102.2=255.5