170.21 is what percent of 23.135 - 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 23.135 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 23.135, so we can write it down as 100%=23.135.
4. We know, that x% equals 170.21 of the output value, so we can write it down as x%=170.21.
5. Now we have two simple equations:
1) 100%=23.135
2) x%=170.21
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%=23.135/170.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.21 is what percent of 23.135

100%/x%=23.135/170.21
(100/x)*x=(23.135/170.21)*x       - we multiply both sides of the equation by x
100=0.13592033370542*x       - we divide both sides of the equation by (0.13592033370542) to get x
100/0.13592033370542=x
735.72509185217=x
x=735.72509185217

now we have:
170.21 is 735.72509185217% of 23.135