362.7 is what percent of 1190.3 - 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 1190.3 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 1190.3, so we can write it down as 100%=1190.3.
4. We know, that x% equals 362.7 of the output value, so we can write it down as x%=362.7.
5. Now we have two simple equations:
1) 100%=1190.3
2) x%=362.7
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%=1190.3/362.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.7 is what percent of 1190.3

100%/x%=1190.3/362.7
(100/x)*x=(1190.3/362.7)*x       - we multiply both sides of the equation by x
100=3.2817755720982*x       - we divide both sides of the equation by (3.2817755720982) to get x
100/3.2817755720982=x
30.471309753844=x
x=30.471309753844

now we have:
362.7 is 30.471309753844% of 1190.3