119.78 is what percent of 131.78 - 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 131.78 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 131.78, so we can write it down as 100%=131.78.
4. We know, that x% equals 119.78 of the output value, so we can write it down as x%=119.78.
5. Now we have two simple equations:
1) 100%=131.78
2) x%=119.78
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%=131.78/119.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.78 is what percent of 131.78

100%/x%=131.78/119.78
(100/x)*x=(131.78/119.78)*x       - we multiply both sides of the equation by x
100=1.1001836700618*x       - we divide both sides of the equation by (1.1001836700618) to get x
100/1.1001836700618=x
90.893914099256=x
x=90.893914099256

now we have:
119.78 is 90.893914099256% of 131.78