What is 42750 percent of 149750 - 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 149750 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 149750 is 100%, so we can write it down as 149750=100%.
4. We know, that x is 42750% of the output value, so we can write it down as x=42750%.
5. Now we have two simple equations:
1) 149750=100%
2) x=42750%
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:
149750/x=100%/42750%
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 42750% of 149750

149750/x=100/42750
(149750/x)*x=(100/42750)*x       - we multiply both sides of the equation by x
149750=0.0023391812865497*x       - we divide both sides of the equation by (0.0023391812865497) to get x
149750/0.0023391812865497=x
64018125=x
x=64018125

now we have:
42750% of 149750=64018125