164.18 is what percent of 1151.14 - 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 1151.14 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 1151.14, so we can write it down as 100%=1151.14.
4. We know, that x% equals 164.18 of the output value, so we can write it down as x%=164.18.
5. Now we have two simple equations:
1) 100%=1151.14
2) x%=164.18
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%=1151.14/164.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.18 is what percent of 1151.14

100%/x%=1151.14/164.18
(100/x)*x=(1151.14/164.18)*x       - we multiply both sides of the equation by x
100=7.0114508466317*x       - we divide both sides of the equation by (7.0114508466317) to get x
100/7.0114508466317=x
14.262383376479=x
x=14.262383376479

now we have:
164.18 is 14.262383376479% of 1151.14