56.87 is what percent of 238.84 - 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 238.84 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 238.84, so we can write it down as 100%=238.84.
4. We know, that x% equals 56.87 of the output value, so we can write it down as x%=56.87.
5. Now we have two simple equations:
1) 100%=238.84
2) x%=56.87
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%=238.84/56.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.87 is what percent of 238.84

100%/x%=238.84/56.87
(100/x)*x=(238.84/56.87)*x       - we multiply both sides of the equation by x
100=4.199753824512*x       - we divide both sides of the equation by (4.199753824512) to get x
100/4.199753824512=x
23.810919443979=x
x=23.810919443979

now we have:
56.87 is 23.810919443979% of 238.84