78.86 is what percent of 150 - 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 150 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 150, so we can write it down as 100%=150.
4. We know, that x% equals 78.86 of the output value, so we can write it down as x%=78.86.
5. Now we have two simple equations:
1) 100%=150
2) x%=78.86
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%=150/78.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.86 is what percent of 150

100%/x%=150/78.86
(100/x)*x=(150/78.86)*x       - we multiply both sides of the equation by x
100=1.9021049961958*x       - we divide both sides of the equation by (1.9021049961958) to get x
100/1.9021049961958=x
52.573333333333=x
x=52.573333333333

now we have:
78.86 is 52.573333333333% of 150