84615.09 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 84615.09 of the output value, so we can write it down as x%=84615.09.
5. Now we have two simple equations:
1) 100%=150000
2) x%=84615.09
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%=150000/84615.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84615.09 is what percent of 150000

100%/x%=150000/84615.09
(100/x)*x=(150000/84615.09)*x       - we multiply both sides of the equation by x
100=1.7727334450628*x       - we divide both sides of the equation by (1.7727334450628) to get x
100/1.7727334450628=x
56.41006=x
x=56.41006

now we have:
84615.09 is 56.41006% of 150000