What is 83.87 percent of 70 - 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 70 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 70 is 100%, so we can write it down as 70=100%.
4. We know, that x is 83.87% of the output value, so we can write it down as x=83.87%.
5. Now we have two simple equations:
1) 70=100%
2) x=83.87%
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:
70/x=100%/83.87%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 83.87% of 70

70/x=100/83.87
(70/x)*x=(100/83.87)*x       - we multiply both sides of the equation by x
70=1.1923214498629*x       - we divide both sides of the equation by (1.1923214498629) to get x
70/1.1923214498629=x
58.709=x
x=58.709

now we have:
83.87% of 70=58.709