81.7 is what 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 100% equals 1190, so we can write it down as 100%=1190.
4. We know, that x% equals 81.7 of the output value, so we can write it down as x%=81.7.
5. Now we have two simple equations:
1) 100%=1190
2) x%=81.7
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%=1190/81.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.7 is what percent of 1190

100%/x%=1190/81.7
(100/x)*x=(1190/81.7)*x       - we multiply both sides of the equation by x
100=14.565483476132*x       - we divide both sides of the equation by (14.565483476132) to get x
100/14.565483476132=x
6.8655462184874=x
x=6.8655462184874

now we have:
81.7 is 6.8655462184874% of 1190