170.29 is what percent of 904.71 - 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 904.71 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 904.71, so we can write it down as 100%=904.71.
4. We know, that x% equals 170.29 of the output value, so we can write it down as x%=170.29.
5. Now we have two simple equations:
1) 100%=904.71
2) x%=170.29
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%=904.71/170.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.29 is what percent of 904.71

100%/x%=904.71/170.29
(100/x)*x=(904.71/170.29)*x       - we multiply both sides of the equation by x
100=5.3127605848846*x       - we divide both sides of the equation by (5.3127605848846) to get x
100/5.3127605848846=x
18.822606138984=x
x=18.822606138984

now we have:
170.29 is 18.822606138984% of 904.71