188.87 is what percent of 2803.13 - 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 2803.13 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 2803.13, so we can write it down as 100%=2803.13.
4. We know, that x% equals 188.87 of the output value, so we can write it down as x%=188.87.
5. Now we have two simple equations:
1) 100%=2803.13
2) x%=188.87
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%=2803.13/188.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.87 is what percent of 2803.13

100%/x%=2803.13/188.87
(100/x)*x=(2803.13/188.87)*x       - we multiply both sides of the equation by x
100=14.841584158416*x       - we divide both sides of the equation by (14.841584158416) to get x
100/14.841584158416=x
6.7378252168112=x
x=6.7378252168112

now we have:
188.87 is 6.7378252168112% of 2803.13