170.67 is what percent of 1137.83 - 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 1137.83 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 1137.83, so we can write it down as 100%=1137.83.
4. We know, that x% equals 170.67 of the output value, so we can write it down as x%=170.67.
5. Now we have two simple equations:
1) 100%=1137.83
2) x%=170.67
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%=1137.83/170.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.67 is what percent of 1137.83

100%/x%=1137.83/170.67
(100/x)*x=(1137.83/170.67)*x       - we multiply both sides of the equation by x
100=6.6668424444835*x       - we divide both sides of the equation by (6.6668424444835) to get x
100/6.6668424444835=x
14.99960451034=x
x=14.99960451034

now we have:
170.67 is 14.99960451034% of 1137.83