150.67 is what percent of 853.33 - 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 853.33 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 853.33, so we can write it down as 100%=853.33.
4. We know, that x% equals 150.67 of the output value, so we can write it down as x%=150.67.
5. Now we have two simple equations:
1) 100%=853.33
2) x%=150.67
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%=853.33/150.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.67 is what percent of 853.33

100%/x%=853.33/150.67
(100/x)*x=(853.33/150.67)*x       - we multiply both sides of the equation by x
100=5.66356939006*x       - we divide both sides of the equation by (5.66356939006) to get x
100/5.66356939006=x
17.6567095965=x
x=17.6567095965

now we have:
150.67 is 17.6567095965% of 853.33