9.87 is what percent of 8.4 - 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 8.4 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 8.4, so we can write it down as 100%=8.4.
4. We know, that x% equals 9.87 of the output value, so we can write it down as x%=9.87.
5. Now we have two simple equations:
1) 100%=8.4
2) x%=9.87
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%=8.4/9.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.87 is what percent of 8.4

100%/x%=8.4/9.87
(100/x)*x=(8.4/9.87)*x       - we multiply both sides of the equation by x
100=0.85106382978723*x       - we divide both sides of the equation by (0.85106382978723) to get x
100/0.85106382978723=x
117.5=x
x=117.5

now we have:
9.87 is 117.5% of 8.4