866.6 is what percent of 4200 - 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 4200 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 4200, so we can write it down as 100%=4200.
4. We know, that x% equals 866.6 of the output value, so we can write it down as x%=866.6.
5. Now we have two simple equations:
1) 100%=4200
2) x%=866.6
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%=4200/866.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 866.6 is what percent of 4200

100%/x%=4200/866.6
(100/x)*x=(4200/866.6)*x       - we multiply both sides of the equation by x
100=4.8465266558966*x       - we divide both sides of the equation by (4.8465266558966) to get x
100/4.8465266558966=x
20.633333333333=x
x=20.633333333333

now we have:
866.6 is 20.633333333333% of 4200