0.78 is what percent of 0.87 - 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 0.87 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 0.87, so we can write it down as 100%=0.87.
4. We know, that x% equals 0.78 of the output value, so we can write it down as x%=0.78.
5. Now we have two simple equations:
1) 100%=0.87
2) x%=0.78
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%=0.87/0.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.78 is what percent of 0.87

100%/x%=0.87/0.78
(100/x)*x=(0.87/0.78)*x       - we multiply both sides of the equation by x
100=1.1153846153846*x       - we divide both sides of the equation by (1.1153846153846) to get x
100/1.1153846153846=x
89.655172413793=x
x=89.655172413793

now we have:
0.78 is 89.655172413793% of 0.87