88.8 is what percent of 537.64 - 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 537.64 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 537.64, so we can write it down as 100%=537.64.
4. We know, that x% equals 88.8 of the output value, so we can write it down as x%=88.8.
5. Now we have two simple equations:
1) 100%=537.64
2) x%=88.8
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%=537.64/88.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.8 is what percent of 537.64

100%/x%=537.64/88.8
(100/x)*x=(537.64/88.8)*x       - we multiply both sides of the equation by x
100=6.0545045045045*x       - we divide both sides of the equation by (6.0545045045045) to get x
100/6.0545045045045=x
16.516628227066=x
x=16.516628227066

now we have:
88.8 is 16.516628227066% of 537.64