145.07 is what percent of 852.7 - 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 852.7 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 852.7, so we can write it down as 100%=852.7.
4. We know, that x% equals 145.07 of the output value, so we can write it down as x%=145.07.
5. Now we have two simple equations:
1) 100%=852.7
2) x%=145.07
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%=852.7/145.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.07 is what percent of 852.7

100%/x%=852.7/145.07
(100/x)*x=(852.7/145.07)*x       - we multiply both sides of the equation by x
100=5.8778520714138*x       - we divide both sides of the equation by (5.8778520714138) to get x
100/5.8778520714138=x
17.013017473906=x
x=17.013017473906

now we have:
145.07 is 17.013017473906% of 852.7