118.86 is what percent of 767.34 - 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 767.34 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 767.34, so we can write it down as 100%=767.34.
4. We know, that x% equals 118.86 of the output value, so we can write it down as x%=118.86.
5. Now we have two simple equations:
1) 100%=767.34
2) x%=118.86
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%=767.34/118.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.86 is what percent of 767.34

100%/x%=767.34/118.86
(100/x)*x=(767.34/118.86)*x       - we multiply both sides of the equation by x
100=6.4558303886926*x       - we divide both sides of the equation by (6.4558303886926) to get x
100/6.4558303886926=x
15.489874110564=x
x=15.489874110564

now we have:
118.86 is 15.489874110564% of 767.34