445.76 is what percent of 150000 - 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 150000 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 100% equals 150000, so we can write it down as 100%=150000.
4. We know, that x% equals 445.76 of the output value, so we can write it down as x%=445.76.
5. Now we have two simple equations:
1) 100%=150000
2) x%=445.76
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:
100%/x%=150000/445.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 445.76 is what percent of 150000

100%/x%=150000/445.76
(100/x)*x=(150000/445.76)*x       - we multiply both sides of the equation by x
100=336.50394831299*x       - we divide both sides of the equation by (336.50394831299) to get x
100/336.50394831299=x
0.29717333333333=x
x=0.29717333333333

now we have:
445.76 is 0.29717333333333% of 150000