What is 41.5 percent of 1190 - 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 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 1190 is 100%, so we can write it down as 1190=100%.
4. We know, that x is 41.5% of the output value, so we can write it down as x=41.5%.
5. Now we have two simple equations:
1) 1190=100%
2) x=41.5%
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:
1190/x=100%/41.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 41.5% of 1190

1190/x=100/41.5
(1190/x)*x=(100/41.5)*x       - we multiply both sides of the equation by x
1190=2.4096385542169*x       - we divide both sides of the equation by (2.4096385542169) to get x
1190/2.4096385542169=x
493.85=x
x=493.85

now we have:
41.5% of 1190=493.85