86 is what percent of 713 - 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 713 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 713, so we can write it down as 100%=713.
4. We know, that x% equals 86 of the output value, so we can write it down as x%=86.
5. Now we have two simple equations:
1) 100%=713
2) x%=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%=713/86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86 is what percent of 713

100%/x%=713/86
(100/x)*x=(713/86)*x       - we multiply both sides of the equation by x
100=8.2906976744186*x       - we divide both sides of the equation by (8.2906976744186) to get x
100/8.2906976744186=x
12.061711079944=x
x=12.061711079944

now we have:
86 is 12.061711079944% of 713