0.18 is what percent of 214.13 - 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 214.13 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 214.13, so we can write it down as 100%=214.13.
4. We know, that x% equals 0.18 of the output value, so we can write it down as x%=0.18.
5. Now we have two simple equations:
1) 100%=214.13
2) x%=0.18
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%=214.13/0.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.18 is what percent of 214.13

100%/x%=214.13/0.18
(100/x)*x=(214.13/0.18)*x       - we multiply both sides of the equation by x
100=1189.6111111111*x       - we divide both sides of the equation by (1189.6111111111) to get x
100/1189.6111111111=x
0.084061084387989=x
x=0.084061084387989

now we have:
0.18 is 0.084061084387989% of 214.13