34.07 is what percent of 218.02 - 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 218.02 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 218.02, so we can write it down as 100%=218.02.
4. We know, that x% equals 34.07 of the output value, so we can write it down as x%=34.07.
5. Now we have two simple equations:
1) 100%=218.02
2) x%=34.07
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%=218.02/34.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.07 is what percent of 218.02

100%/x%=218.02/34.07
(100/x)*x=(218.02/34.07)*x       - we multiply both sides of the equation by x
100=6.3991781626064*x       - we divide both sides of the equation by (6.3991781626064) to get x
100/6.3991781626064=x
15.627006696633=x
x=15.627006696633

now we have:
34.07 is 15.627006696633% of 218.02