86 is what percent of 1971 - 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 1971 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 1971, so we can write it down as 100%=1971.
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%=1971
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%=1971/86
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 1971

100%/x%=1971/86
(100/x)*x=(1971/86)*x       - we multiply both sides of the equation by x
100=22.918604651163*x       - we divide both sides of the equation by (22.918604651163) to get x
100/22.918604651163=x
4.363267376966=x
x=4.363267376966

now we have:
86 is 4.363267376966% of 1971