187.44 is what percent of 858.13 - 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 858.13 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 858.13, so we can write it down as 100%=858.13.
4. We know, that x% equals 187.44 of the output value, so we can write it down as x%=187.44.
5. Now we have two simple equations:
1) 100%=858.13
2) x%=187.44
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%=858.13/187.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.44 is what percent of 858.13

100%/x%=858.13/187.44
(100/x)*x=(858.13/187.44)*x       - we multiply both sides of the equation by x
100=4.5781583440034*x       - we divide both sides of the equation by (4.5781583440034) to get x
100/4.5781583440034=x
21.842844324287=x
x=21.842844324287

now we have:
187.44 is 21.842844324287% of 858.13