What is 142.5 percent of 785.2 - 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 785.2 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 785.2 is 100%, so we can write it down as 785.2=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) 785.2=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:
785.2/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 785.2

785.2/x=100/142.5
(785.2/x)*x=(100/142.5)*x       - we multiply both sides of the equation by x
785.2=0.70175438596491*x       - we divide both sides of the equation by (0.70175438596491) to get x
785.2/0.70175438596491=x
1118.91=x
x=1118.91

now we have:
142.5% of 785.2=1118.91