170.92 is what percent of 852 - 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 852 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 852, so we can write it down as 100%=852.
4. We know, that x% equals 170.92 of the output value, so we can write it down as x%=170.92.
5. Now we have two simple equations:
1) 100%=852
2) x%=170.92
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%=852/170.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.92 is what percent of 852

100%/x%=852/170.92
(100/x)*x=(852/170.92)*x       - we multiply both sides of the equation by x
100=4.9847882050082*x       - we divide both sides of the equation by (4.9847882050082) to get x
100/4.9847882050082=x
20.06103286385=x
x=20.06103286385

now we have:
170.92 is 20.06103286385% of 852