What is 142.5 percent of 205 - 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 205 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 205 is 100%, so we can write it down as 205=100%.
4. We know, that x is 142.5% of the output value, so we can write it down as x=142.5%.
5. Now we have two simple equations:
1) 205=100%
2) x=142.5%
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:
205/x=100%/142.5%
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 142.5% of 205

205/x=100/142.5
(205/x)*x=(100/142.5)*x       - we multiply both sides of the equation by x
205=0.70175438596491*x       - we divide both sides of the equation by (0.70175438596491) to get x
205/0.70175438596491=x
292.125=x
x=292.125

now we have:
142.5% of 205=292.125