84.35 is what percent of 86.53 - 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 86.53 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 86.53, so we can write it down as 100%=86.53.
4. We know, that x% equals 84.35 of the output value, so we can write it down as x%=84.35.
5. Now we have two simple equations:
1) 100%=86.53
2) x%=84.35
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%=86.53/84.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.35 is what percent of 86.53

100%/x%=86.53/84.35
(100/x)*x=(86.53/84.35)*x       - we multiply both sides of the equation by x
100=1.0258446947244*x       - we divide both sides of the equation by (1.0258446947244) to get x
100/1.0258446947244=x
97.480642551716=x
x=97.480642551716

now we have:
84.35 is 97.480642551716% of 86.53