156.31 is what percent of 170.04 - 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 170.04 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 170.04, so we can write it down as 100%=170.04.
4. We know, that x% equals 156.31 of the output value, so we can write it down as x%=156.31.
5. Now we have two simple equations:
1) 100%=170.04
2) x%=156.31
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%=170.04/156.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.31 is what percent of 170.04

100%/x%=170.04/156.31
(100/x)*x=(170.04/156.31)*x       - we multiply both sides of the equation by x
100=1.0878382701043*x       - we divide both sides of the equation by (1.0878382701043) to get x
100/1.0878382701043=x
91.92542931075=x
x=91.92542931075

now we have:
156.31 is 91.92542931075% of 170.04