801.6 is what percent of 1189 - 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 1189 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 1189, so we can write it down as 100%=1189.
4. We know, that x% equals 801.6 of the output value, so we can write it down as x%=801.6.
5. Now we have two simple equations:
1) 100%=1189
2) x%=801.6
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%=1189/801.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 801.6 is what percent of 1189

100%/x%=1189/801.6
(100/x)*x=(1189/801.6)*x       - we multiply both sides of the equation by x
100=1.4832834331337*x       - we divide both sides of the equation by (1.4832834331337) to get x
100/1.4832834331337=x
67.417998317914=x
x=67.417998317914

now we have:
801.6 is 67.417998317914% of 1189