69.82 is what percent of 85.7 - 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 85.7 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 85.7, so we can write it down as 100%=85.7.
4. We know, that x% equals 69.82 of the output value, so we can write it down as x%=69.82.
5. Now we have two simple equations:
1) 100%=85.7
2) x%=69.82
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%=85.7/69.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.82 is what percent of 85.7

100%/x%=85.7/69.82
(100/x)*x=(85.7/69.82)*x       - we multiply both sides of the equation by x
100=1.2274419936981*x       - we divide both sides of the equation by (1.2274419936981) to get x
100/1.2274419936981=x
81.47024504084=x
x=81.47024504084

now we have:
69.82 is 81.47024504084% of 85.7