199.69 is what percent of 210 - 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 210 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 210, so we can write it down as 100%=210.
4. We know, that x% equals 199.69 of the output value, so we can write it down as x%=199.69.
5. Now we have two simple equations:
1) 100%=210
2) x%=199.69
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%=210/199.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.69 is what percent of 210

100%/x%=210/199.69
(100/x)*x=(210/199.69)*x       - we multiply both sides of the equation by x
100=1.0516300265411*x       - we divide both sides of the equation by (1.0516300265411) to get x
100/1.0516300265411=x
95.090476190476=x
x=95.090476190476

now we have:
199.69 is 95.090476190476% of 210