282.87 is what percent of 340 - 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 340 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 340, so we can write it down as 100%=340.
4. We know, that x% equals 282.87 of the output value, so we can write it down as x%=282.87.
5. Now we have two simple equations:
1) 100%=340
2) x%=282.87
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%=340/282.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 282.87 is what percent of 340

100%/x%=340/282.87
(100/x)*x=(340/282.87)*x       - we multiply both sides of the equation by x
100=1.2019655672217*x       - we divide both sides of the equation by (1.2019655672217) to get x
100/1.2019655672217=x
83.197058823529=x
x=83.197058823529

now we have:
282.87 is 83.197058823529% of 340