59.32 is what percent of 219.88 - 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 219.88 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 219.88, so we can write it down as 100%=219.88.
4. We know, that x% equals 59.32 of the output value, so we can write it down as x%=59.32.
5. Now we have two simple equations:
1) 100%=219.88
2) x%=59.32
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%=219.88/59.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.32 is what percent of 219.88

100%/x%=219.88/59.32
(100/x)*x=(219.88/59.32)*x       - we multiply both sides of the equation by x
100=3.7066756574511*x       - we divide both sides of the equation by (3.7066756574511) to get x
100/3.7066756574511=x
26.97835182827=x
x=26.97835182827

now we have:
59.32 is 26.97835182827% of 219.88